Register to reply

Determine whether the series is convergent or divergent.

by Sabricd
Tags: alternating series, calc 2, series
Share this thread:
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!
Phys.Org News Partner Science news on Phys.org
New type of solar concentrator desn't block the view
Researchers demonstrate ultra low-field nuclear magnetic resonance using Earth's magnetic field
Asian inventions dominate energy storage systems
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!


Register to reply

Related Discussions
Determine whethere the following series is convergent or divergent Calculus & Beyond Homework 8
Convergent -divergent series General Math 25
Convergent/Divergent Series Calculus & Beyond Homework 3
Determine whether series is convergent or divergent Calculus & Beyond Homework 2
Divergent Harmonic Series, Convergent P-Series (Cauchy sequences) Calculus & Beyond Homework 1