JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow 0}} \frac{\sin \left(\pi \cos ^2(\tan (\sin x))\right)}{x^2}

is equal to

View answer and explanation

Correct option: A

\pi

Option A (

\pi

) is correct because the expression simplifies to

\pi

after applying trigonometric identities and limit properties.

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\lim \limits_{{x \rightarrow 0}}\left(\frac{1}{x^2}-\operatorname{cosec}^2 x\right)

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\lim \limits_{{x \rightarrow \infty}} x\left(e^{1 / x}-1\right)

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