Question

find the horizontal asymptotes (if any) for f(x):(ax^3)/((bx^3)+cx+d) @ Calculus. My answer is a/b but im not sure.

Answer 1

Correct. As x gets really far from the origin in either direction, the function will approach a/b.

Answer 2

At large values of x, the lower order terms (the linear term and constant in the denomimator) become become unimportant.