A) 3
B) 4
C) 5
D) 6
Correct Answer: C
Solution :
[c] \[f'(1)=\underset{h\to 0}{\mathop{\lim }}\,\frac{f(1+h)-f(1)}{h};\] As function is differentiable so it is continuous as it is given that \[\underset{h\to 0}{\mathop{\lim }}\,\frac{f(1+h)}{h}\] = 5 and hence \[f(1)=0\] Hence \[f'(1)=\underset{h\to 0}{\mathop{\lim }}\,\frac{f(1+h)}{h}=5\]You need to login to perform this action.
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