allerylim(x→0) (tan x) / x equals:
A0
B1
Cx
DUndefined
Answer & Solution
Correct answer: B. 1
1. tan x / x = (sin x / x) · (1 / cos x).
2. As x → 0, sin x / x → 1 and cos x → 1.
3. So tan x / x → 1 · 1 = 1.
_Source: syllabus Maths Ch 13 §13.2 Standard Trig Limits_
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