Can a rational function have different horizontal asymptotes as x→ ∞ and as x→-∞? [Hin...

Can a rational function have different horizontal asymptotes as x→ ∞ and as x→-∞? [Hint: To have a horizontal asymptote other than the x-axis, the highest power of x in the numerator and denominator must be the same, such as in . What are the two limits? Can you do the same for higher powers?]