The limit
$$\underset{n\rightarrow \infty }{\lim}\:n^{2}\int_{0}^{1}\:\frac{1}{\left ( 1+x^{2} \right )^{n}}\:dx$$
is equal to
https://drive.google.com/file/d/1dE7LOpGgP86oeP557codAy_2C4N-w_7b/view?usp=drivesdk
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