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In the mean value theorem `f(a+h)=f(a)+hf'(a+theta h) ( 0 lt theta lt 1)`, if `f(x)=sqrt(x), a=1, h=3`, then the value of `theta` is -

A

`(5)/(12)`

B

`(1)/(2)`

C

`(1)/(3)`

D

`(2)/(3)`

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A
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