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Let f:RrarrR be differentiable at x=0 . ...

Let `f:RrarrR` be differentiable at `x=0` . If `f(0)=0` and `f'(0)=2`,then the value of
`lim_(xrarr0)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

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The correct Answer is:
C
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