A) 0
B) 2
C) \[-2\]
D) 6
Correct Answer: D
Solution :
[d] \[\Rightarrow -sinx\left( 0-2 \right)-1\left( 0-4x \right)=2sinx+4x\] \[\Rightarrow \underset{x\to 0}{\mathop{lt}}\,\frac{f'(x)}{x}=\underset{x\to 0}{\mathop{lt}}\,\left( \frac{2\sin x}{x}+4 \right)=2\left( \underset{x\to 0}{\mathop{lt}}\,\frac{\sin x}{x} \right)+4\]\[=2\times 1+4=6\]You need to login to perform this action.
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