Show that \( \lim _{x \rightarrow 0} \frac{e^{1 / x}-1}{e^{1 / x}+1} \) does not exist.

Show that \( \lim _{x \rightarrow 0} \frac{e^{1 / x}-1}{e^{1 / x}+1} \) does not exist.

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