# Beauty of Calculus!

Calculus Level 3

$\large \lim_{x \to 0} \left( \frac{1}{x}\right )^{x}$

Find the limit above if it exists.

Notations:

• $$e \approx 2.71828$$ is the Euler's number.
• $$!$$ denotes the factorial function. For example, $$8! = 1\times2\times3\times\cdots\times8$$.
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