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Jaqueline Kirby 2022-06-27 Answered
Investigate convergence of the following series:
n = 0 ( 2 + ( 1 ) n π ) n
Which convergence criterion shoul be applied?
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Answers (1)

lorienoldf7
Answered 2022-06-28 Author has 19 answers
The series is absolutely convergent by comparison with the geometric series with ratio 3 π
In particular:
n 0 ( 2 + ( 1 ) n π ) n = n 0 ( 9 π 2 ) n + n 0 1 π 2 n + 1 = π 2 π 2 9 + π π 2 1 .
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