Determine the convergence or divergence:

Question

An=(-1)^n(n/(n+1))

Answer 1

A(n+1)= -1^(n+1) (n+1)/(n+2)

A(n+1)/An= -1* 1/n * 1/(n+2) which as n >> large, converges to zero.

Answer 2

I would reccomend you to open your book and spend a few minutes ;)