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lim-x-cos-x-x-3-x-4-x-

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Question Number 148421 by mathdanisur last updated on 27/Jul/21
lim_(x→∞) ((cos(x) - x!)/(3^x - 4^x )) = ?
$$\underset{\boldsymbol{{x}}\rightarrow\infty} {{lim}}\frac{{cos}\left({x}\right)\:-\:{x}!}{\mathrm{3}^{\boldsymbol{{x}}} \:-\:\mathrm{4}^{\boldsymbol{{x}}} }\:=\:? \\ $$

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