Find the value of

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Find the value of lim⁡x→4(cos⁡α)x−(sin⁡α)x−cos⁡2αx−4\lim_{x\to4}\frac{(\cos\alpha)^x-(\sin\alpha)^x-\cos2\alpha}{x-4}, where α∈[0,π2]\alpha\in\left[0,\frac{\pi}{2}\right].

Related theory

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