1 n3 + 2n मेरे /n6 + 13
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**6. Use an appropriate test, and clearly indicate which test you are using, in order to determine convergence or divergence for each of the following series.**
**a.**
\[
\sum_{n=1}^{\infty} \frac{1}{n^3 + 2n}
\]
**b.**
\[
\sum_{n=1}^{\infty} \frac{n^2}{\sqrt{n^6 + 13}}
\]
In these problems, you are asked to evaluate the convergence or divergence of two infinite series. For each series, choose an appropriate convergence test, such as the Comparison Test, Limit Comparison Test, Ratio Test, Root Test, or Integral Test, and apply it to determine whether the series converges or diverges. Be sure to clearly state the test used and showcase the steps involved in the evaluation process.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F012cdee4-812c-4a02-a9c6-5a82b0817ade%2Fb69009e4-2e9d-483f-bcaf-ae109f845b1e%2Fj9zx0sj_processed.png&w=3840&q=75)
Transcribed Image Text:**6. Use an appropriate test, and clearly indicate which test you are using, in order to determine convergence or divergence for each of the following series.**
**a.**
\[
\sum_{n=1}^{\infty} \frac{1}{n^3 + 2n}
\]
**b.**
\[
\sum_{n=1}^{\infty} \frac{n^2}{\sqrt{n^6 + 13}}
\]
In these problems, you are asked to evaluate the convergence or divergence of two infinite series. For each series, choose an appropriate convergence test, such as the Comparison Test, Limit Comparison Test, Ratio Test, Root Test, or Integral Test, and apply it to determine whether the series converges or diverges. Be sure to clearly state the test used and showcase the steps involved in the evaluation process.
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