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Determine whether the series is convergent or divergent.

by Sabricd
Tags: alternating series, calc 2, series
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Sabricd
#1
Nov18-10, 08:07 AM
P: 27
Hello,

I have to determine whether the series converges or diverges.

It is [tex]\Sigma[/tex] (-1)^n * cos(Pi/n) where n=1 and goes to infinity.

First I took the absolute value of the function and got the limit from n to infinity of cos(pi/n) and as a result I got 1 because cos(0)=1. However my text book says it's divergent. Could you please help me understand why it is divergent?

Thank you!
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Sabricd
#2
Nov18-10, 08:10 AM
P: 27
Nevermind! I figured out why. I guess I confused the alternating series test with some other one. :)

Thanks!


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