GATE 2021 MT – Question 24
The value of $\lim_{x\to0}\sin^2(5x)/\sin^2x$ is ______ (nearest integer).
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Show answer and explanation
Correct answer: 25 to 25
Explanation
As x→0, sin5x/(sin x)→5 by the small-angle limit. Squaring gives **25**. Both numerator and denominator are squared sine functions, not sin(25x).