Alternating Series Error Bound
Definition
The alternating series error bound provides an upper bound on the absolute error when approximating an alternating series using only a finite number of terms. It helps determine how close our partial sum is to the actual value of the series.
Related terms
Alternating Series: An alternating series is a series where each term alternates in sign (positive and negative).
Convergence Test: A convergence test helps determine whether an infinite series converges or diverges based on certain criteria.
Partial Sum: A partial sum is the sum of only a finite number of terms in an infinite series. It represents an approximation to the total sum but may not be exact.
"Alternating Series Error Bound" appears in:
Study guides (1)
Practice Questions (6)
What is the Alternating Series Error Bound used for?
Which of the following statements about the Alternating Series Error Bound is true?
Which of the following is a condition for applying the Alternating Series Error Bound?
What is the purpose of the Alternating Series Error Bound in calculus?
Which of the following statements about the Alternating Series Error Bound is false?
Which of the following is a general requirement for applying the Alternating Series Error Bound?
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.