Functions Question 70
Question: $ \underset{x\to \alpha }{\mathop{\lim }},\frac{\sin x-\sin \alpha }{x-\alpha }= $
Options:
A) 0
B) 1
C) $ \sin \alpha $
D) $ \cos \alpha $
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Answer:
Correct Answer: D
Solution:
$ \underset{x\to \alpha }{\mathop{\lim }},\frac{\sin x-\sin \alpha }{x-\alpha } $ $ \underset{x\to \alpha }{\mathop{\lim }},\frac{\cos x}{1}=\cos \alpha $ , (Apply L-Hospital’s rule)
BETA
