Question
Class 11MathematicsLimits and Derivatives

Evaluate: limx→0 [(sin(2 + x) - sin(2 - x)) / x]

Verified Answer

limx→0 [(sin(2 + x) - sin(2 - x)) / x] = limx→0 [(2cos((2 + x + 2 - x)/2) × sin((2 + x - (2 - x))/2)) / x]

= limx→0 [(2cos × 2sin x) / x]

= 2cos2limx → 0 (sinx / x)

= 2cos 2