Question Detail
Question
Evaluate lim(x→0) sin(x)(1-cos(x))/x
Correct Answer
Option A is the correct answer.
Detailed Explanation
sin(x)/x → 1 as x→0, and (1-cos x) → 0, so the product tends to 1·0 = 0.
Hint
Split into (sin x/x)·(1-cos x) and evaluate each factor's limit separately.