Question

is this series,

\sum_0^infty(1/(2+sqrt(n))*e(int))

convergent?

Answer 1

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Answer 2

Can you retype that please? :)

Answer 3

\[\sum_{n=0}^{\infty} \frac{1}{2+\sqrt{n}e^?}\]

Answer 4

\[\sum_{0}^{\infty}{1/(2+\sqrt{n})e^{inx}}\]

Answer 5

Ratio test?

Answer 6

ratio =1

Answer 7

it's a complex trigonometric series

Answer 8

any thoughts?

Answer 9

Hmmm...Not really. Lol. Other than having something like e^-inx=e^inx-2isin(nx) But I don't see how that would help at all.

Answer 10

well thanks anyway :)