lim x->a f(x) = -infinity
Definition
This term refers to the limit of a function as x approaches a, where the function's output becomes infinitely negative.
Analogy
Imagine you are driving towards a cliff. As you get closer and closer to the edge, your car's altitude drops lower and lower until it reaches negative infinity.
Related terms
Vertical asymptote: A vertical line that a graph approaches but never touches. It can be at positive or negative infinity.
Limit: The value that a function approaches as the input gets arbitrarily close to a certain point.
Infinite discontinuity: A type of discontinuity where the limit of a function does not exist because it goes to positive or negative infinity.
"lim x->a f(x) = -infinity" appears in:
Are you a college student?
Study guides for the entire semester
200k practice questions
Glossary of 50k key terms - memorize important vocab
Resources
© 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.