JEE Mathematics · Medium

Limits and Continuity: Trigonometric limits MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Trigonometric limitsMediumQuestion 240008

Question

lim(x→0) (tan x)/x equals:
  1. A
    1
    Correct
  2. B
    0
  3. C
    π/180
  4. D

Correct answer

1

Explanation

lim(x→0) (tan x)/x = lim (sin x)/(x cos x) = lim(sin x/x) × lim(1/cos x) = 1 × 1 = 1.