Limits at Infinity

Definition

Limits at Infinity refer to the behavior of a function as the input approaches positive or negative infinity. It determines the value that a function approaches as its input becomes infinitely large or small.

Related terms

Horizontal Asymptotes: Horizontal asymptotes are horizontal lines that a function approaches as x approaches positive or negative infinity. They represent the long-term behavior of a function.

lim x->+infinity f(x) = +infinity: This term refers to the limit of a function as x approaches positive infinity, where the output (y-value) of the function becomes infinitely large.

Vertical Asymptotes:

Vertical asymptotes occur when there is an infinite gap between two parts of a graph, usually due to division by zero. They represent values where the function's output tends towards positive or negative infinity.