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. |
Classroom Articles on Calculus II (Up to College Level)
