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Ekvikonvergencia kritérium - Laptörténet
2024-03-28T12:52:03Z
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Mozo: /* Feladatok */
2017-06-14T14:07:00Z
<p><span class="autocomment">Feladatok</span></p>
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<td colspan='2' style="background-color: white; color:black;">←Régebbi változat</td>
<td colspan='2' style="background-color: white; color:black;">A lap 2017. június 14., 14:07-kori változata</td>
</tr><tr><td colspan="2" class="diff-lineno">7. sor:</td>
<td colspan="2" class="diff-lineno">7. sor:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Feladatok==</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==Feladatok==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>:<math>\sum\limits_{n=2}\ln\left(1<del class="diffchange diffchange-inline">-</del>\frac{1}{n^2}\right)</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>:<math>\sum\limits_{n=2}\ln\left(1<ins class="diffchange diffchange-inline">+</ins>\frac{1}{n^2}\right)</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>konvergens, mert  </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>konvergens, mert  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
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Mozo
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Mozo: /* Feladatok */
2017-06-14T14:06:42Z
<p><span class="autocomment">Feladatok</span></p>
<table class='diff diff-contentalign-left'>
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<td colspan='2' style="background-color: white; color:black;">←Régebbi változat</td>
<td colspan='2' style="background-color: white; color:black;">A lap 2017. június 14., 14:06-kori változata</td>
</tr><tr><td colspan="2" class="diff-lineno">10. sor:</td>
<td colspan="2" class="diff-lineno">10. sor:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>konvergens, mert  </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>konvergens, mert  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty}\frac{\ln\left(1<del class="diffchange diffchange-inline">-</del>\frac{1}{n^2}\right)}{<del class="diffchange diffchange-inline">-</del>\frac{1}{n^2}}=1</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty}\frac{\ln\left(1<ins class="diffchange diffchange-inline">+</ins>\frac{1}{n^2}\right)}{\frac{1}{n^2}}=1</math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>hiszen ln(1+kicsi)/kicsi tart az 1-hez, és a <del class="diffchange diffchange-inline">negatív tagú </del>&sum;<del class="diffchange diffchange-inline">-</del>1/n<sup>2</sup> sor konvergens.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>hiszen ln(1+kicsi)/kicsi tart az 1-hez, és a &sum;1/n<sup>2</sup> sor konvergens.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
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Mozo
http://wiki.math.bme.hu/index.php?title=Ekvikonvergencia_krit%C3%A9rium&diff=9237&oldid=prev
Mozo: /* Feladatok */
2013-10-18T19:03:23Z
<p><span class="autocomment">Feladatok</span></p>
<table class='diff diff-contentalign-left'>
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<td colspan='2' style="background-color: white; color:black;">←Régebbi változat</td>
<td colspan='2' style="background-color: white; color:black;">A lap 2013. október 18., 19:03-kori változata</td>
</tr><tr><td colspan="2" class="diff-lineno">11. sor:</td>
<td colspan="2" class="diff-lineno">11. sor:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty}\frac{\ln\left(1-\frac{1}{n^2}\right)}{-\frac{1}{n^2}}=1</math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty}\frac{\ln\left(1-\frac{1}{n^2}\right)}{-\frac{1}{n^2}}=1</math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>hiszen ln 1+kicsi/kicsi tart az 1-hez, és a negatív tagú &sum;-1/n<sup>2</sup> sor konvergens.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>hiszen ln<ins class="diffchange diffchange-inline">(</ins>1+kicsi<ins class="diffchange diffchange-inline">)</ins>/kicsi tart az 1-hez, és a negatív tagú &sum;-1/n<sup>2</sup> sor konvergens.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
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Mozo
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Mozo: /* Feladatok */
2013-10-18T19:03:03Z
<p><span class="autocomment">Feladatok</span></p>
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<td colspan='2' style="background-color: white; color:black;">←Régebbi változat</td>
<td colspan='2' style="background-color: white; color:black;">A lap 2013. október 18., 19:03-kori változata</td>
</tr><tr><td colspan="2" class="diff-lineno">11. sor:</td>
<td colspan="2" class="diff-lineno">11. sor:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty}\frac{\ln\left(1-\frac{1}{n^2}\right)}{-\frac{1}{n^2}}=1</math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty}\frac{\ln\left(1-\frac{1}{n^2}\right)}{-\frac{1}{n^2}}=1</math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>és a negatív tagú &sum;-1/n<sup>2</sup> sor konvergens.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">hiszen ln 1+kicsi/kicsi tart az 1-hez, </ins>és a negatív tagú &sum;-1/n<sup>2</sup> sor konvergens.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
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Mozo
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Mozo: /* Feladatok */
2013-10-18T19:02:07Z
<p><span class="autocomment">Feladatok</span></p>
<table class='diff diff-contentalign-left'>
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<td colspan='2' style="background-color: white; color:black;">←Régebbi változat</td>
<td colspan='2' style="background-color: white; color:black;">A lap 2013. október 18., 19:02-kori változata</td>
</tr><tr><td colspan="2" class="diff-lineno">17. sor:</td>
<td colspan="2" class="diff-lineno">17. sor:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty} \frac{  \frac{1}{  n^{1+\frac{1}{n}}  }}{  \frac{1}{n}  }=1</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty} \frac{  \frac{1}{  n^{1+\frac{1}{n}}  }}{  \frac{1}{n}  <ins class="diffchange diffchange-inline">}=\lim\limits_{n\to \infty} \frac{1}{\sqrt[n]{n}</ins>}=1</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td></tr>
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Mozo
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Mozo: /* Feladatok */
2013-10-18T18:59:52Z
<p><span class="autocomment">Feladatok</span></p>
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<col class='diff-marker' />
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<td colspan='2' style="background-color: white; color:black;">←Régebbi változat</td>
<td colspan='2' style="background-color: white; color:black;">A lap 2013. október 18., 18:59-kori változata</td>
</tr><tr><td colspan="2" class="diff-lineno">17. sor:</td>
<td colspan="2" class="diff-lineno">17. sor:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty} \frac{\frac{1}{n^{1+\frac{1}{n}}}{\frac{1}{n}}=1</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty} \frac{ <ins class="diffchange diffchange-inline">  </ins>\frac{1}{ <ins class="diffchange diffchange-inline"> </ins>n^{1+\frac{1}{n}<ins class="diffchange diffchange-inline">}  </ins>}}{ <ins class="diffchange diffchange-inline"> </ins>\frac{1}{n} <ins class="diffchange diffchange-inline"> </ins>}=1</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td></tr>
</table>
Mozo
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Mozo: /* Feladatok */
2013-10-18T18:58:13Z
<p><span class="autocomment">Feladatok</span></p>
<table class='diff diff-contentalign-left'>
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<col class='diff-marker' />
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<td colspan='2' style="background-color: white; color:black;">←Régebbi változat</td>
<td colspan='2' style="background-color: white; color:black;">A lap 2013. október 18., 18:58-kori változata</td>
</tr><tr><td colspan="2" class="diff-lineno">17. sor:</td>
<td colspan="2" class="diff-lineno">17. sor:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>\lim\limits_{n\to <del class="diffchange diffchange-inline">\infty} +</del>\infty}\frac{\frac{1}{n^{1+\frac{1}{n}}}{\frac{1}{n}}=1</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty} \frac{\frac{1}{n^{1+\frac{1}{n}}}{\frac{1}{n}}=1</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td></tr>
</table>
Mozo
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Mozo: /* Feladatok */
2013-10-18T18:57:59Z
<p><span class="autocomment">Feladatok</span></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
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<col class='diff-marker' />
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<td colspan='2' style="background-color: white; color:black;">←Régebbi változat</td>
<td colspan='2' style="background-color: white; color:black;">A lap 2013. október 18., 18:57-kori változata</td>
</tr><tr><td colspan="2" class="diff-lineno">10. sor:</td>
<td colspan="2" class="diff-lineno">10. sor:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>konvergens, mert  </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>konvergens, mert  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>\lim\limits_{n\to <del class="diffchange diffchange-inline">+</del>\infty}\frac{\ln\left(1-\frac{1}{n^2}\right)}{-\frac{1}{n^2}}=1</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>\lim\limits_{n\to \infty}\frac{\ln\left(1-\frac{1}{n^2}\right)}{-\frac{1}{n^2}}=1</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a negatív tagú &sum;-1/n<sup>2</sup> sor konvergens.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a negatív tagú &sum;-1/n<sup>2</sup> sor konvergens.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>:<math>\sum\limits_{n=<del class="diffchange diffchange-inline">2</del>}\frac{1}{n^{1+\frac{1}{n}}}</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>:<math>\sum\limits_{n=<ins class="diffchange diffchange-inline">1</ins>}\frac{1}{n^{1+\frac{1}{n}}}</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>\lim\limits_{n\to +\infty}\frac{\frac{1}{n^{1+\frac{1}{n}}}{\frac{1}{n}}=1</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>\lim\limits_{n\to <ins class="diffchange diffchange-inline">\infty} </ins>+\infty}\frac{\frac{1}{n^{1+\frac{1}{n}}}{\frac{1}{n}}=1</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td></tr>
</table>
Mozo
http://wiki.math.bme.hu/index.php?title=Ekvikonvergencia_krit%C3%A9rium&diff=9231&oldid=prev
Mozo: /* Feladatok */
2013-10-18T18:57:02Z
<p><span class="autocomment">Feladatok</span></p>
<table class='diff diff-contentalign-left'>
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<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr valign='top'>
<td colspan='2' style="background-color: white; color:black;">←Régebbi változat</td>
<td colspan='2' style="background-color: white; color:black;">A lap 2013. október 18., 18:57-kori változata</td>
</tr><tr><td colspan="2" class="diff-lineno">14. sor:</td>
<td colspan="2" class="diff-lineno">14. sor:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>:<math>\sum\limits_{n=2}\frac{1}{n^{1+\frac{1}{n}}}<del class="diffchange diffchange-inline">}\right)</del></math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>:<math>\sum\limits_{n=2}\frac{1}{n^{1+\frac{1}{n}}}</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\lim\limits_{n\to +\infty}\frac{\frac{1}{n^{1+\frac{1}{n}}}{\frac{1}{n}}=1</math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\lim\limits_{n\to +\infty}\frac{\frac{1}{n^{1+\frac{1}{n}}}{\frac{1}{n}}=1</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td></tr>
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Mozo
http://wiki.math.bme.hu/index.php?title=Ekvikonvergencia_krit%C3%A9rium&diff=9230&oldid=prev
Mozo: /* Feladatok */
2013-10-18T18:56:20Z
<p><span class="autocomment">Feladatok</span></p>
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<td colspan='2' style="background-color: white; color:black;">←Régebbi változat</td>
<td colspan='2' style="background-color: white; color:black;">A lap 2013. október 18., 18:56-kori változata</td>
</tr><tr><td colspan="2" class="diff-lineno">14. sor:</td>
<td colspan="2" class="diff-lineno">14. sor:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="background: #ffa; color:black; font-size: smaller;"><div>:<math>\sum\limits_{n=2}\frac{1}{n^{1+\frac{1}{n}}}\right)</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>:<math>\sum\limits_{n=2}\frac{1}{n^{1+\frac{1}{n<ins class="diffchange diffchange-inline">}</ins>}}}\right)</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>divergens, mert  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>:<math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\lim\limits_{n\to +\infty}\frac{\frac{1}{n^{1+\frac{1}{n}}}{\frac{1}{n}}=1</math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>\lim\limits_{n\to +\infty}\frac{\frac{1}{n^{1+\frac{1}{n}}}{\frac{1}{n}}=1</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>és a &sum;1/n harmonikus sor divergens.</div></td></tr>
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Mozo