Binomial Series
Definition
The binomial series is a power series expansion of the form (1 + x)^a, where "a" can be any real number and "x" is a variable. It allows us to approximate functions as an infinite sum of terms.
Related terms
Power Series: A power series is an infinite sum of terms involving powers of a variable. The binomial series is one type of power series.
Coefficients: In the binomial series, each term has its own coefficient which determines its magnitude or weight in the expansion.
Convergence: The concept of convergence refers to whether or not a given power series actually converges to a specific value within a certain range.
"Binomial Series" 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.