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Question: \(\operatorname { Lim } _ { x \rightarrow 2 }\) \(\frac{(\cos\alpha)^{x} + (\sin\alpha)^{x} - 1}{x -...

Lim⁡x→2\operatorname { Lim } _ { x \rightarrow 2 } (cos⁡α)x+(sin⁡α)x−1x−2\frac{(\cos\alpha)^{x} + (\sin\alpha)^{x} - 1}{x - 2} is equal to

A

1

B

cosαln sinα + sin2α

C

sinαln cosα + cos2α

D

None of these

Answer

None of these

Explanation

Solution

Using D. L. Hospital rule