How to Find Asymptotes: Vertical, Horizontal and Oblique
A vertical asymptote occurs where the denominator is zero and the numerator is not. A horizontal asymptote depends on the degrees: equal degrees give the ratio of leading coefficients, a smaller numerator gives zero. Tutor-style math help Find Asymptotes: Vertical, Horizontal and Oblique: what to notice and how to work it Rational skill Rational expressions […]
Connecting Limits at Infinity and Horizontal Asymptotes
A function has a horizontal asymptote y = L when its limit as x → ∞ or x → −∞ equals L. For rational functions, compare degrees: if the denominator’s degree is higher, the asymptote is y = 0; if the degrees are equal, it is the ratio of the leading coefficients; if the numerator’s […]