I need to proof that (n+1)^n >= 2*n^n it's emberassing, but I just don't see how
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$\displaystyle (n+1)^n\geq2n^n$ Use induction Test $\displaystyle n=1$ It is true. Assume true for $\displaystyle n=k$ $\displaystyle (k+1)^k\geq2k^k$ Test $\displaystyle n=k+1$ You should arrive at the answer. Reply if you're still having trouble.
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