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Let g (x ) = x ^(C )e ^(Cx) and f (x) = ...

Let `g (x ) = x ^(C )e ^(Cx) and f (x) = int _(0)^(x) te ^(2t) (1+3t ^(2))^(1//2) dt.` If `L = lim _(x to oo) (f'(x ))/(g '(x))` is non-zero finite number then :
The value of L . Is :

A

`2/7`

B

`1/2`

C

`(sqrt3)/(4)`

D

`(sqrt3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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