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The limit

$$\underset{n\rightarrow \infty }{\lim}\:n^{2}\int_{0}^{1}\:\frac{1}{\left ( 1+x^{2} \right )^{n}}\:dx$$

is equal to

  1. $1$
  2. $0$
  3. $+\infty$
  4. $1/2$
in Calculus edited by
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