Question:medium

Evaluate \[ \lim_{x\to0}\frac{e^{\tan x}-e^{\sin x}}{(1-\cos x)\tan x} \]

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For limits involving exponential functions, \[ \boxed{ e^a-e^b\sim a-b \quad(a,b\to0) } \] This approximation often simplifies complicated limits.

Updated On: Jul 14, 2026

\(0\)
\(\dfrac12\)
\(1\)
Does not exist

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The Correct Option is C

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