Calculating a limit with trignonometeric and quadratic function – math.stackexchange.com

Calculating a limit with trignonometeric and quadratic function – math.stackexchange.com

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$$\lim_{n->\infty}\left(1+{1\over{n^2+\cos n}}\right)^{n^2+n}$$ I vaguely get the idea that since $\cos n$ and $n$ dont really matter compared to $n^2$, this must evaluate to $e$. But not sure how ...

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