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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

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The correct Answer is:
C
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Knowledge Check

  • 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

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  • Let the function f:RR rarr RR be defined by , f(x)=3x-2 and g(x)=3x-2 (RR being the set of real numbers), then (f o g)(x)=

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