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## Homework Statement

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.

## Homework Equations

Answers are:

a) 1/e

b) 0

c) infinity