Series expansion
In mathematics, a series expansion is a method for calculating a function that cannot be expressed by just elementary operators.
The resulting so-called series often can be limited to a finite number of terms, thus yielding an approximation of the function. The fewer terms of the sequence are used, the simpler this approximation will be. Often, the resulting inaccuracy can be described by an equation involving Big O notation. The series expansion on an open interval will also be an approximation for non-analytic functions.
There are several kinds of series expansions, such as:
