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lim-x-0-xcos-x-xsin-pi-e-1-x-ln-x-




Question Number 159733 by metamorfose last updated on 20/Nov/21
lim_(x→0^+ )  ((⌊xcos(x)⌋)/(xsin(π⌊(e^(1/x) /(ln(x)))⌋)))
$$\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\frac{\lfloor{xcos}\left({x}\right)\rfloor}{{xsin}\left(\pi\lfloor\frac{{e}^{\frac{\mathrm{1}}{{x}}} }{{ln}\left({x}\right)}\rfloor\right)} \\ $$

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