Infinite Limits

Definition

Infinite limits occur when the value of a function approaches positive or negative infinity as the input approaches a certain value. It means that there is no finite limit for the function at that point.

Related terms

Vertical Asymptotes:

Vertical asymptotes are vertical lines that represent values where the function's graph approaches positive or negative infinity. They occur when there are infinite limits at specific points.

Lim x->a f(x) = +infinity: This notation represents an infinite limit where the function f(x) approaches positive infinity as x approaches a particular value 'a'. It indicates that there is no finite limit for f(x) at that point.

Horizontal Asymptotes: Horizontal asymptotes are horizontal lines that represent values towards which the function's graph tends to get closer as x goes to positive or negative infinity. They can be used to determine if a function has an infinite limit at those extremes.