Evaluate the following limits: _ x 0 a^ x - a^ x x - x

MATHEMATICS · Subjective · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Evaluate the following limits: lim⁡x→0atan⁡x−asin⁡xtan⁡x−sin⁡x,a>0\lim_{x \rightarrow 0} \frac{a^{\tan x} - a^{\sin x}}{\tan x - \sin x}, a > 0

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