If $f(x)=\sin \left(\frac{1}{x}\right)$, then at $x=0$

LHL and RHL exist and are equal

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

f(x)=\sin \left(\frac{1}{x}\right)

, then at

x=0

View answer and explanation

Correct option: C

Both LHL and RHL do not exist

Option C (Both LHL and RHL do not exist) is correct because the function oscillates between -1 and 1 as x approaches 0 from either side.

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