Find the vertical and horizontal asymptotes of the function: f(x)= sqrt(3x^2-x+7)/4x-e^2

Find the vertical and horizontal asymptotes of the function:
f(x)= sqrt(3x^2-x+7)/4x-e^2
Vertical asymptote:
Set denominator to 0 and solve for x.
4x –e^2 = 0
 x = (e^2)/4
Horizontal asymptote:
For this, try to evaluate the limit of f(X) as x tends to infinity. f(x) can be rewritten...