Which of the series, and which diverge? Give reasons for your answers. (When you check an answer, remember that there may be more than one way to determine the series’ convergence or divergence.) sum_{n=1}^inftyfrac{3}{sqrt n}

Maiclubk 2020-10-27 Answered
Which of the series, and which diverge?
Give reasons for your answers. (When you check an answer, remember that there may be more than one way to determine the series’ convergence or divergence.)
n=13n
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Expert Answer

Tasneem Almond
Answered 2020-10-28 Author has 91 answers
Given:
n=13n
To find the series is convergent or divergent use the ratio test for series.
L=limn|an+1an|
If L<1, then the series is convergent.
If L>1, Then the series is divergent.
If L=1, Then the ratio test fails.
Apply ratio test
|an+1an|=3n+13n
=nn1+1n
=1
the ratio test fails
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Jeffrey Jordon
Answered 2021-12-16 Author has 2047 answers

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