Determine whether the series is convergent or divergent.by Sabricd Tags: alternating series, calc 2, series 

#1
Nov1810, 08:07 AM

P: 28

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! 



#2
Nov1810, 08:10 AM

P: 28

Nevermind! I figured out why. I guess I confused the alternating series test with some other one. :)
Thanks! 


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