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](https://www.tinkutara.com/question/Q98166.png)
$$\underset{{x}\rightarrow\infty} {{lim}}\left[{cos}\left(\mathrm{2}\pi\left(\frac{{x}}{{x}+\mathrm{1}}\right)^{{a}} \right)\right]^{{x}^{\mathrm{2}} } \\ $$$${a}\in\mathbb{R} \\ $$
lim-x-cos-2pi-x-x-1-a-x-2-a-R-