$$\lim\limits_{n \to \infty} \sqrt[n+1]{n+1}$$
This question looks pretty easy and basic to me, yet I can't find an answer. I am pretty sure the answer is 1, but I'm not sure of the reason.
I think that it can be written as $(n+1)^{\frac1{n+1}}$, but $\dfrac1{n+1}$ should be $0$ (because $n\to\infty$) and that would be the reason, but I'm not really sure.
Can anyone give me a proper explanation on this limit and its result?
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