Thread: A simple proof...

1. A simple proof...

I need to proof that (n+1)^n >= 2*n^n

it's emberassing, but I just don't see how

2. $(n+1)^n\geq2n^n$

Use induction
Test $n=1$
It is true.

Assume true for $n=k$
$(k+1)^k\geq2k^k$

Test $n=k+1$

You should arrive at the answer.
Reply if you're still having trouble.