GATE 2025 MN – Question 29

Engineering Mathematics · Calculus · 1 mark · Numerical answer

Evaluate $\lim_{x\to0}\tan(11x)/\tan(5x)$ to one decimal.

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Show answer and explanation

Correct answer: 2.0 to 2.5

Explanation

Write the ratio as[sin(11x)/(11x)]/[sin(5x)/(5x)] times11/5 times cos(5x)/cos(11x). The sine ratios and cosine ratio all tend to1. The limit is11/5=2.2.

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