What is the horizontal asymptote of hx10x34x29Solutionhx 10

What is the horizontal asymptote of: h(x)=10x^3/4x^2+9

Solution

h(x) = 10x³/(4x² + 9) = 10x³/( 0x³ + 4x² + 9)

horizontal asymptote ==>y = coefficient of highest degree of numerator/coefficient of highest degree of numerator

==> y = 10/(0) = not defined

Hence No horizontal asymptote for h(x)