Alternating Error Bound

Definition

The alternating error bound is a method used to estimate the maximum possible error when using an alternating series to approximate a value. It provides an upper limit on how far off the approximation can be.

Related terms

Lagrange Error Bound:

The Lagrange error bound is another method used to estimate the maximum possible error in approximating a function using Taylor polynomials. It provides an upper limit on how much the approximation can deviate from the actual function.

Sequences: Sequences are ordered lists of numbers that follow a specific pattern or rule. They can be finite or infinite and are often used in calculus to study limits and convergence.

Alternating Series:

An alternating series is a series where each term alternates between positive and negative signs. These series have special properties and methods for estimating their sums, such as the alternating error bound.