solve-the-limit-problem-lim-x-cosx-1-e-x-

Question Number 115384 by mathdave last updated on 25/Sep/20

s o l v e t h e l i m i t p r o b l e m

\lim_{x \to \infty} (\frac{\cos x}{1 - e^{- x}})

Answered by MJS_new last updated on 25/Sep/20

\lim_{x \to \infty} \frac{\cos x}{1 - e^{- x}} = \lim_{x \to \infty} \frac{e^{x}}{e^{x} - 1} \cos x = \lim_{x \to \infty} \cos x

\Rightarrow limit {doesn}^{'} t exist

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