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Let f RR rarr RR be differentiable at x ...

Let `f RR rarr RR` be differentiable at `x = 0`. If f(0) = 0 and f'(0) = 2, then the value of
`underset(x rarr 0)lim (1)/(x)[f(x) + f(2x) + f(3x)+…+f(2015x)]` is

A

2015

B

0 (zero)

C

`2015 xx 2016`

D

`2015 xx 2014`

Text Solution

Verified by Experts

The correct Answer is:
C
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