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.....

Question

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Yeah, the divergence test.

anonymous · Answer

Sweet! Thanks :D