If `("lim")_(xvecoo)f(x)` exists and is finite and nonzero and if `("lim")_(xvecoo){f(x)+(3f(x)-1)/(f^2(x))}=3,t h e nt h ev a l u eof("lim")_(xvecoo)f(x)i s__`

Answer

`(1)`

Explanation

`underset(xtooo)lim(f(x)+(3f(x)-1)/(f^(2)(x)))=3`
or `(underset(xtooo)limf(x)+(3underset(xtooo)limf(x)-1)/((underset(xtooo)limf(x))^(2)))=3`
or `(y+(3y-1)/(y^(2)))=3`
or `y^(3)-3y^(2)+3y-1=0`
or `(y-1)^(3)=0`
or `y=1`