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Is it true that $nc^n \leq (c+1)^n$, where $c$ is a constant? If so, how?

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  • $\begingroup$ Try induction to prove your inequality. $\endgroup$
    – Jut
    Sep 3 at 19:11
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It comes from $$\left(\frac{c}{c+1}\right)^n\cdot n \to 0$$ when $n\to \infty$.

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