Show-that-lim-x-0-e-1-x-1-e-1-x-1-does-not-exist-

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

S h o w t h a t

\lim_{x \to 0} \frac{e^{\frac{1}{x}} - 1}{e^{\frac{1}{x}} + 1} d o e s n o t e x i s t

Commented by MJS_new last updated on 11/Jan/23

let x = \frac{1}{t}

x \to 0^{-} : t \to - \infty \Rightarrow \lim = - 1

x \to 0^{+} : t \to + \infty \Rightarrow \lim = + 1

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