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If f(x) is a differntiable function sati...

If f(x) is a differntiable function satisfying the condition f(100x)=x+f(100x-100), `forall x in R` and f(100)=1, then `f(10^(4))` is

A

5049

B

`sum_(r=1)^(100)r`

C

`sum_(r=2)^(100)r`

D

5050

Text Solution

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The correct Answer is:
B, D
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