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

Maiclubk

Answered question

2020-10-27

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

Answer & Explanation

Tasneem Almond

Tasneem Almond

Skilled2020-10-28Added 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
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-16Added 2605 answers

Answer is given below (on video)

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