key term - 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.