Question

Use the integral test to investigate the relationship between the value of $p$ and the convergence of the series.\ $sum_{k=2}^{infty} frac{1}{k(ln k)^{p-4}}$\The series converges if $p > 4$.\The series converges if $p < 5$.\The series converges if $p < 3$.\The series converges if $p > 5$.\The series converges if $0 < p < 4$.

Name: Use the integral test to investigate the relationship between the value of p and the convergence of the series.sumk=2^infty frac1k(ln k)^p-4series converges if p > 4.series converges if p < 5.series converges if p < 3.series converges if p > 5.series converges if 0 < p < 4.
Uploaded: 2022-06-13T10:56:50-08:00
Duration: 1 min 2 s
Channel: Madhur L
Description: Use the integral test to investigate the relationship between the value of p and the convergence of the series.sumk=2^infty frac1k(ln k)^p-4series converges if p > 4.series converges if p < 5.series converges if p < 3.series converges if p > 5.series converges if 0 < p < 4.

          Use the integral test to investigate the relationship between the value of $p$ and the convergence of the series.\
$sum_{k=2}^{infty} frac{1}{k(ln k)^{p-4}}$\The series converges if $p > 4$.\The series converges if $p < 5$.\The series converges if $p < 3$.\The series converges if $p > 5$.\The series converges if $0 < p < 4$.

$Use the integral test to investigate the relationship between the value of p and the convergence of the series.sumk=2^infty frac1k(ln k)^p-4series converges if p > 4.series converges if p < 5.series converges if p < 3.series converges if p > 5.series converges if 0 < p < 4.$

Added by Susan F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/13/2022

Step 1

** Show more…

Show all steps

Thanks for your feedback!

Use the integral test to investigate the relationship between the value of p and the convergence of the series. The series converges if p > 4. The series converges if p < 5. The series converges if p < 3. The series converges if p > 5. The series converges if 0 < p < 4.