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Definite Integration question

2002 · Shift 0 · Q79

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PYQ Library
JEE Main
Mathematics
Definite Integration
2002 · Shift 0 · Q79

Definite Integration question

2002 · Shift 0 · Q79

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

{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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