Use the alternating series test to determine the convergence of the series sum_{n=1}^infty(-1)^nsin^2n

Kyran Hudson 2020-11-02 Answered
Use the alternating series test to determine the convergence of the series
n=1(1)nsin2n
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Expert Answer

irwchh
Answered 2020-11-03 Author has 102 answers
We have given a series,
n=1(1)nsin2n
We know that for the alternating series test, series should be given in forms,
n=1(1)nanorn=1(1)n+1an
Our series is given in the form,
n=1(1)nan
Conditions for alternate series are, an>0
And
limn=an=0
And series should be in decreasing order to be a series convergent.
limn=sin2nn0
Hence, the given series is not convergent.
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Jeffrey Jordon
Answered 2021-12-16 Author has 2064 answers

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