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Question Number 98166 by  M±th+et+s last updated on 11/Jun/20

lim_(x→∞) [cos(2π((x/(x+1)))^a )]^x^2    a∈R

$$\underset{{x}\rightarrow\infty} {{lim}}\left[{cos}\left(\mathrm{2}\pi\left(\frac{{x}}{{x}+\mathrm{1}}\right)^{{a}} \right)\right]^{{x}^{\mathrm{2}} } \\ $$$${a}\in\mathbb{R} \\ $$

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