Show that `("lim")_(xrarr0)` `(e^(1/x)-1)/(e^(1/x)+1) does not exist`

Explanation

To show that the limit

\[ \lim_{x \to 0} \frac{e^{1/x} - 1}{e^{1/x} + 1} \]

does not exist, we will evaluate the left-hand limit and the right-hand limit separately.

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