Note these 2 points:
• If the degree of the numerator is BIGGER than degree of denominator, there is no horizontal asymptote
,
• If the degree of numerator is SMALLER than degree of denominator, the horizontal asymtote is the ,x-axis
,
• If the degree is numerator is EQUAL to degree of denominator, the equation of horizontal asymptote is y = a/b, where a is leading coefficient of numerator and b is leading coefficient of denominator
Now, looking at the equation, the degree of the numerator is SMALLER than the degree of the denominator. From above, point #2 holds.
The horizontal asymptote is the x-axis.
x-axis has the equation y = 0
The answer: y = 0
