## Calculus with Applications (10th Edition)

Vertical asymptote: If a function gets larger and larger in magnitude without bound as $x$ approaches the number $k$, then the line $x=k$ is a vertical asymptote. Horizontal asymptote: If the values of $y$ approach a number $k$ as $|x|$ gets larger and larger, the line $y=k$ is a horizontal asymptote.
Vertical asymptote: search for number(s) k such that: If a function gets larger and larger in magnitude without bound as $x$ approaches the number $k$, then the line $x=k$ is a vertical asymptote. Horizontal asymptote: search for number(s) k such that: If the values of $y$ approach a number $k$ as $|x|$ gets larger and larger, the line $y=k$ is a horizontal asymptote.