JEE Math Practice Question
$${I_n} = \int\limits_0^{\pi /4} {{{\tan }^n}x\,dx} $$ then $$\,\mathop {\lim }\limits_{n \to \infty } \,n\left[ {{I_n} + {I_{n + 2}}} \right]$$ equals
- A.$${1 \over 2}$$
- B.$$1$$
- C.$$\infty $$
- D.zero
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