How can I use Bernoulli's inequality to prove $c^{1/n}\to1$ for $c>0$ ?
I have to use $c^{1/n}=1+xn$.
Thank you!
2026-03-25 17:29:51.1774459791
Bernoulli's inequality and sequences
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HINT
We have that for $c>1$
$$1\le c^{\frac1n}=(1+(c-1))^{\frac1n}\le 1+\frac{c-1}n$$