$\mathop {\lim }\limits_{x \to 0} {x^2}\sin \frac{\pi }{x}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

\lim\limits_{x \to 0} {x^2}\sin \frac{\pi }{x}

is equal to

View answer and explanation

Correct option: B

Option B (0) is correct because the sine function is bounded between -1 and 1, and the

x^2

term approaches 0 as x approaches 0, making the entire expression approach 0.

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