A) \[0\]
B) \[\sqrt{\pi }\]
C) \[\pi \]
D) Does not exist
Correct Answer: B
Solution :
[b] \[f'(0)=\underset{x\to 0}{\mathop{\lim }}\,\,\frac{f(x)-f(0)}{x-0}\] \[=\underset{x\to 0}{\mathop{\lim }}\,\,\,\frac{\frac{\sin x}{x}\left( {{2}^{x}}+{{2}^{-x}} \right)\sqrt{{{\tan }^{-1}}\left( {{x}^{2}}-x+1 \right)}}{{{\left( 7{{x}^{2}}+3x+1 \right)}^{3}}}=\sqrt{\pi }\]You need to login to perform this action.
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