Oblique Asymptote

==2024-11-22


Theory

A function has an oblique asymptote if and are polynomials such that .

We can get the oblique asymptote by doing Polynomial Division.

gives,

Remainder = Quotient = Divisor = Dividend =

Then, since,

To find and , we should know Polynomial Division.


Examples

left=-20;right=20;
top=50;bottom=-50;
---
y=\frac{x^3-3}{2x-4}

PTR