Fiveable
Fiveable

Limit of the Function

Definition

The limit of a function represents the value that the function approaches as the input approaches a certain point or infinity.

Analogy

Imagine driving on an empty road towards your favorite restaurant. As you get closer and closer to the restaurant, your hunger level (the limit) increases because you know you're getting closer to satisfying your appetite.

Related terms

Continuity: A property that describes when there are no sudden jumps, breaks, or holes in the graph of a function.

Differentiability: A property that indicates whether or not a function has a derivative at every point within its domain.

L'Hôpital's Rule: A method used to evaluate limits involving indeterminate forms such as 0/0 or ∞/∞ by taking derivatives.

"Limit of the Function" appears in:



© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.


© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.