JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\left|\cos ^{-1} \frac{1}{n}\right| < \frac{\pi}{2}

, then

\lim \limits_{{n \rightarrow \infty}}\left\{(n+1) \frac{2}{\pi} \cos ^{-1} \frac{1}{n}-n\right\}

is equal to

View answer and explanation

Correct option: B

\frac{\pi-2}{\pi}

Option B (

\frac{\pi-2}{\pi}

) is correct because after applying trigonometric identities and evaluating the limit, the expression simplifies to

\frac{\pi-2}{\pi}

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