$\lim _\limits{x \rightarrow 0}(\sin x)^{\tan x}$ is

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow 0}}(\sin x)^{\tan x}

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Correct option: A

Option A (1) is correct because after applying L'Hôpital's rule to the logarithm of the function, the limit evaluates to 0, and thus the original limit is e⁰ = 1.

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