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In a problem of differentiation of (f(x...

In a problem of differentiation of `(f(x))/(g(x))`, one student writes the derivative of `(f(x))/(g(x))` as `(f'(x))/(g'(x))` and he finds the correct result . If `g(x)=x^(2)and lim_(xtooo) f(x)=4` On the basis of above information , answer the following questions :
The function `f(x)` is

A

`(4x)/((x-2))`

B

`(4x^(2))/((2-x)^(2))`

C

`(4x^(2))/(x^(2)+x+1)`

D

`(4x^(2))/((4-x)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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