The line y = L is called a Horizontal asymptote of the curve y = f(x) if either
For the rational function, f(x)
In equation of Horizontal Asymptotes,
1. If the degree of x in the numerator is less than the degree of x in the denominator then y = 0 is the Horizontal asymptote.
2. If the degree of x in the numerator is equal to the degree of x in the denominator then y = c where c is obtained by dividing the leading coefficients.