JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

The value of

\lim \limits_{{x \rightarrow 1}} \frac{\log x}{\sin \pi x}

, is

View answer and explanation

Correct option: D

-\frac{1}{\pi}

Option D (

-\frac{1}{\pi}

) is correct because the limit can be evaluated using the standard limit

\lim_{x \to 0} \frac{\sin x}{x} = 1

and

\lim_{x \to 1} \frac{\ln x}{x-1} = 1

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