Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
When a series converges, it means that the terms of the series approach a specific value as more terms are added. In other words, the sum of all the terms in the series has a finite limit.
When a series diverges, it means that the terms of the series do not approach any specific value but instead grow infinitely or oscillate between different values.
Absolute Convergence: A series is said to have absolute convergence if both positive and negative versions of its terms converge.
Conditional Convergence: A series is said to have conditional convergence if it converges but its positive and negative versions don't converge individually.