JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

I_n=\int\limits_{0}^{\pi / 4} \tan ^n x d x

then

\lim \limits_\limits {n \rightarrow \infty} n\left[I_n+I_{n+2}\right]

equals

View answer and explanation

Correct option: B

Option B (1) is correct. By evaluating the integral

I_n + I_{n+2}

and then taking the limit as

n

approaches infinity, the result is 1.

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