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lim-x-x-1-sin-1-x-x-sin-1-x-1-ln-x-




Question Number 175579 by cortano1 last updated on 03/Sep/22
 lim_(x→∞)  ((x^(1−sin ((1/x))) .(x^(sin ((1/x))) −1))/(ln x))
$$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{1}−\mathrm{sin}\:\left(\frac{\mathrm{1}}{\mathrm{x}}\right)} .\left(\mathrm{x}^{\mathrm{sin}\:\left(\frac{\mathrm{1}}{\mathrm{x}}\right)} −\mathrm{1}\right)}{\mathrm{ln}\:\mathrm{x}} \\ $$

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