What is the $\lim_{n\rightarrow \infty }(1+\frac{1}{n})^{n^n}$

Hint:Observe that: $$\left(1+\dfrac{1}{n}\right)^{n^n}> \left(\left(1+\dfrac{1}{n}\right)^n\right)^n> 2^n$$ for sufficiently large $n$.

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Limits

Calculus

Exponential Function

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