Diverges
Definition
When a series or sequence diverges, it means that the terms of the series or sequence do not approach a finite value as the number of terms increases. In other words, the sum or limit of the terms does not exist.
Related terms
Converges: When a series or sequence converges, it means that the terms of the series or sequence approach a finite value as the number of terms increases. The sum or limit exists.
Infinite Series: An infinite series is an expression consisting of an infinite number of terms added together.
Geometric Series: A geometric series is a specific type of infinite series where each term is obtained by multiplying the previous term by a constant ratio.
"Diverges" appears in:
Subjects (1)
AP Psychology
Study guides (1)
AP Calculus AB/BC - 10.4 Integral Test for Convergence
Practice Questions (2)
When evaluating an improper integral, if the integral diverges, it means that:
Which of the following series diverges according to the Alternating Series Test?
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About Us
About Fiveable
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Terms of Use
Privacy Policy
CCPA Privacy Policy
Resources
Cram Mode
AP Score Calculators
Study Guides
Practice Quizzes
Glossary
Cram Events
Merch Shop
Crisis Text Line
Help Center
© 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.