key term - Infinite Limit

Definition

An infinite limit occurs when a function approaches positive or negative infinity as x approaches a certain value. This means that as x gets closer to that value, f(x) grows without bound.

Related terms

Vertical Asymptote: A vertical asymptote is a vertical line that a graph approaches but never touches or crosses.

Horizontal Asymptote: A horizontal asymptote is a horizontal line that a graph approaches as x goes to positive or negative infinity.

Exponential Growth/Decay: Exponential growth refers to situations where something increases rapidly over time, while exponential decay refers to situations where something decreases rapidly over time. Both involve functions with infinite limits.