The correct option is B 0 lim_x→ 0e^logsinx =lim_x→ 0sinx =lim_x→ 0sinxx× x =1× 0=0 ...

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Continuity in an Interval

Ltx → 0 elog...

Question

$L t x \to 0 e^{log sin x} =$

-1

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Solution

The correct option is B 0
${lim}_{x \to 0} e^{log sin x}$
$= {lim}_{x \to 0} sin x$
$= {lim}_{x \to 0} \frac{sin x}{x} \times x$
$= 1 \times 0 = 0$

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