Have a few limits that I'm stuck on:
a) lim n->infinity (n(n+1)^(n+1))/(n+2)^(n+2))
b) lim n->infinity (n^n/(n+3)^(n+1))
c) lim n->infinity n^(-1)^n
I've tried my best to understand what to do solve these, but can't get it. We've been given answers to standard limits, so I think we need to manipulate the above equations into a form where we can use standard limits.