Question

I have the following terms of a series {(0/1)-(1/2)+(2/3)-(3/4)+....} I figured the general term is something like [(-1)^n](n/n+1), and I'm told that the series diverges. However I'm supposed to prove this? Help.....

Answer 1

All convergent series must have the general term tend to zero as \(n \rightarrow \infty\). Your series clearly does not bear that property.

Answer 2

Ah you mean the divergence test? Okay thanks forgot about that..

Answer 3

Yeah, the divergence test.

Answer 4

Sweet! Thanks :D