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Let f:StoS where S=(0,oo) be a twice dif...

Let `f:StoS` where `S=(0,oo)` be a twice differentiable function such that `f(x+1) =f(x)`. If `g:StoR` be defined as `g(x)= log_(e)f(x)`, then the value of `|g''(5) -g''(1)|` is equal to :

A

`(197)/(144)`

B

`(187)/(144)`

C

1

D

`(205)/(144)`

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