Definition

]> Definition

Home \| 18.013A \| Chapter 2 \| Section 2.1		Tools Glossary Index Up Previous Next

Definition

A series expansion of a function about an argument $x_{0}$ is an expression of the form

A + B (x - x_{0}) + C {(x - x_{0})}^{2} + D {(x - x_{0})}^{3} + \dots

that can go on forever. These are amazingly useful.

The condition that $\exp x$ is its own derivative gives relationships between the coefficients, $A, B, C, \dots$ that allow you to deduce what they all are quickly, given $A$ .