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lim-n-n-n-cos-1-n-n-1-4-x-x-dx-




Question Number 161801 by qaz last updated on 22/Dec/21
lim_(n→∞) ∫_n ^(n(cos (1/n))^n ) (1−(4/x))^x dx=?
$$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{n}} ^{\mathrm{n}\left(\mathrm{cos}\:\frac{\mathrm{1}}{\mathrm{n}}\right)^{\mathrm{n}} } \left(\mathrm{1}−\frac{\mathrm{4}}{\mathrm{x}}\right)^{\mathrm{x}} \mathrm{dx}=? \\ $$

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