]> Definition

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 +

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 , that allow you to deduce what they all are quickly, given A .