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Question

Evaluate $l i m x \to 0 l o g \frac{s i n x}{x}$

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Solution

Solution -
$l i m x \to 0 l o g (\frac{sin x}{x})$
We know that $l i m x \to 0 \frac{sin x}{x} = 1$
$= l o g (1)$
$= 0$

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