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17 18 -- -- Question 7 (7 points) Listen mation 5. (7 points) Determine whether $$ \sum_{n=1}^{\infty} \frac{1}{3n^{\frac{2}{3}}+1} $$ converges or diverges. Justify your answer by citing a relevant test.

Name: 17 18 question 7 7 points listen mation 5 7 points determine whether sumn1infty frac13nfrac231 converges or diverges justify your answer by citing a relevant test 03677
Uploaded: 2024-04-04T05:08:09-08:00
Duration: 1 min 6 s
Channel: Andrew Noble
Description: 17 18 question 7 7 points listen mation 5 7 points determine whether sumn1infty frac13nfrac231 converges or diverges justify your answer by citing a relevant test 03677

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Question 7 (7 points)
Listen
mation
5. (7 points) Determine whether $$ \sum_{n=1}^{\infty} \frac{1}{3n^{\frac{2}{3}}+1} $$ converges or diverges. Justify your answer by citing a relevant test.

$17 18 question 7 7 points listen mation 5 7 points determine whether sumn1infty frac13nfrac231 converges or diverges justify your answer by citing a relevant test 03677$

Added by Claudia J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

04/04/2024

Step 1

Step 2: Identify the general term of the series. The general term of the series is $$ a_n = \frac{1}{3n^{\frac{2}{3}}+1} $$. Step 3: Choose a suitable test. Since the terms are positive, we can consider the Limit Comparison Test or the Comparison Test. For Show more…

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17 18 -- -- Question 7 (7 points) Listen mation 5. (7 points) Determine whether $$ \sum_{n=1}^{\infty} \frac{1}{3n^{\frac{2}{3}}+1} $$ converges or diverges. Justify your answer by citing a relevant test.