JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow 0}} \frac{\sqrt[3]{1+\sin ^2 x}-\sqrt[4]{1-2 \tan x}}{\sin x+\tan ^2 x}

is equal to

View answer and explanation

Correct option: C

\frac{1}{2}

Option C (

\frac{{1}}{{2}}

) is correct because using approximations for small x, the limit simplifies to

\frac{{1}}{{2}}

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