Question

To test this series for convergence $$ \sum_{n=1}^{\infty} \frac{n^5 - 4}{n^5 - 6} $$ You could use the Limit Comparison Test, comparing it to the series $$ \sum_{n=1}^{\infty} \frac{1}{n^p} $$ where p= Completing the test, it shows the series: Converges Diverges

Name: to test this series for convergence sumn1infty fracn5 4n5 6 you could use the limit comparison test comparing it to the series sumn1infty frac1np where p completing the test it shows the s 15207
Uploaded: 2022-01-25T15:15:12-08:00
Duration: 2 min 44 s
Channel: Anthony Ramos
Description: to test this series for convergence sumn1infty fracn5 4n5 6 you could use the limit comparison test comparing it to the series sumn1infty frac1np where p completing the test it shows the s 15207

          To test this series for convergence
$$ \sum_{n=1}^{\infty} \frac{n^5 - 4}{n^5 - 6} $$
You could use the Limit Comparison Test, comparing it to the series $$ \sum_{n=1}^{\infty} \frac{1}{n^p} $$ where p=
Completing the test, it shows the series:
Converges
Diverges

$to test this series for convergence sumn1infty fracn5 4n5 6 you could use the limit comparison test comparing it to the series sumn1infty frac1np where p completing the test it shows the s 15207$

Added by Hector B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Anthony Ramos

01/25/2022

Step 1

The given series is $a_n = \frac{n^5 - 4}{n^5 - 6}$. The suggested comparison series is $b_n = \frac{1}{n^p}$. Show more…

Show all steps

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To test this series for convergence $$ \sum_{n=1}^{\infty} \frac{n^5 - 4}{n^5 - 6} $$ You could use the Limit Comparison Test, comparing it to the series $$ \sum_{n=1}^{\infty} \frac{1}{n^p} $$ where p= Completing the test, it shows the series: Converges Diverges