Functions Question 107

Question: $ \underset{\theta \to 0}{\mathop{\lim }},\frac{5\theta \cos \theta -2\sin \theta }{3\theta +\tan \theta }= $

[AI CBSE 1988]

Options:

A) $ \frac{3}{4} $

B) $ -\frac{3}{4} $

C) 0

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ L,{g}’(0)=\underset{h\to 0}{\mathop{\lim }},\frac{f(0-h)-f(0)}{0-h} $