lim_(x→0) tan(x)/x =
A0
B1
Csec²x at 0 = 1
DBoth B and C
Answer & Solution
Correct answer: D. Both B and C
tan x / x = (sin x / x) × (1 / cos x). As x → 0: 1 × 1 = 1. Also equals d/dx(tan x) at 0 = sec²(0) = 1. Both interpretations give the same answer.
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