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Question Number 184797 by Spillover last updated on 11/Jan/23

$$Showthat$$$$\underset{x\to 0}{\lim }\frac{e^{\frac{1}{x}}-1}{e^{\frac{1}{x}}+1}doesnotexist$$

Commented by MJS_new last updated on 11/Jan/23

$$\mathrm{let}x=\frac{1}{t}$$$$x\to 0^{-}:t\to -\mathrm{\infty }\Rightarrow \lim =-1$$$$x\to 0^{+}:t\to +\mathrm{\infty }\Rightarrow \lim =+1$$

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