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virtualinsanity

Member

Registered: 2007-03-11

Posts: 38

Calculus problem

I was confused as to how to do this, so any help would be appreciated

I have to see if the following series converges and justify my answer.

Last edited by virtualinsanity (2007-04-10 04:50:56)

whatismath

Member

Registered: 2007-04-10

Posts: 19

Re: Calculus problem

If a series converges, the limit of the nth term is 0:
let S_n = sum (i=0 to i=n) a_i, then a_n = S_n - S_(n-1).
Take limit n -> infinity as both limits on RHS exist, and equal too.
But now the nth term of this series approaches +1 or -1, i.e.
its limit even does not exist. So the answer is no.