Problem

Problem

The value of lim⁡x→4(cos⁡α)x−(sin⁡α)x−cos⁡2αx−4\lim_{x \to 4} \frac{(\cos \alpha)^x - (\sin \alpha)^x - \cos 2\alpha}{x-4} , α∈[0,π2]\alpha \in \left[ 0, \frac{\pi}{2} \right] is

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