# Asymptotes

Asymptotes are lines that the graph of a function approaches but never reaches as the independent variable approaches a specific value or infinity. Asymptotes can be classified into three types:

**Vertical asymptotes**: These occur when the function approaches infinity or negative infinity as the independent variable approaches a specific value. Vertical asymptotes can be found by determining the values for which the function is undefined.**Horizontal asymptotes**: These occur when the function approaches a constant value as the independent variable goes to positive or negative infinity. Horizontal asymptotes can be found by taking the limit of the function as the independent variable approaches infinity or negative infinity.**Oblique (or slant) asymptotes**: These occur when the function approaches a non-horizontal, non-vertical line as the independent variable goes to positive or negative infinity. Oblique asymptotes can be found by performing long division or using limits.

Asymptotes provide valuable information about the behavior of a function and can help in graphing and analyzing its properties.