# Convergent Series

A convergent series is a series for which partial sums become arbitrarily close to some fixed number.

Convergent series is a college-level concept that would be first encountered in a Calculus II course. It is an Advanced Placement Calculus BC topic and is listed in the California State Standards for Calculus.

### Examples

Geometric Series: | A geometric series is a series in which the ratio of any two consecutive terms is always the same. |

Taylor Series: | A Taylor series is a power series of a function around a given point. |

### Prerequisites

Convergent: | (1) An analysis, convergent means tending towards some definite finite value. (2) In the theory of continued fractions, a convergent is a partial sum of continued fraction terms. |

Series: | In mathematics, a series is an (often infinite) sum of terms specified by some rule. |