Trigonometric limitsMediumQuestion 240008
Question
lim(x→0) (tan x)/x equals:
- A1Correct
- B0
- Cπ/180
- 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.
Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.
lim(x→0) (tan x)/x = lim (sin x)/(x cos x) = lim(sin x/x) × lim(1/cos x) = 1 × 1 = 1.