GATE 2021 ES – Question 12

Mathematics Foundation · Calculus · 1 mark · Multiple choice

Evaluate $\lim_{x\to0}x^2/\sin x$.

0
1
2
−1

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Correct answer: (A) 0

Explanation

Write $x^2/\sin x=x/(\sin x/x)$. As x→0,the denominator tends to 1 and the numerator to 0. Therefore the limit is **0,A**. The standard sine limit assumes radians.

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