Final answer to the problem
$e$
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Step-by-step Solution
Specify the solving method
1
Calculate the power $e^0$
$\lim_{x\to0}\left(\left(1+x\right)^{\frac{1}{x}}\right)$
2
Apply the limit rule of: $\displaystyle\lim_{x\to0}\left(1+x\right)^\frac{1}{x}=e$, where the $x$ represents the function $x$
$e$
Final answer to the problem
$e$