key term - 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.