Let f : R → R be differentiable at x = 0. If f(0) = 0 and f'(0) = 2, then the value of {lim}_{x\to0} 1/x [f(x) + f(2x) + f(3x) + ..... + f(2015x)] is

Correct Answer is : 2015 × 2016

WBJEE 2015 Math Solved Paper

Question : 69 of 80

Marks: +1, -0

Let f : R → R be differentiable at x = 0. If f(0) = 0 and f'(0) = 2, then the value of

lim

x→0

[f(x) + f(2x) + f(3x) + ..... + f(2015x)] is

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