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
A divergent series is a series whose terms do not approach a finite value as the number of terms increases. In other words, the sum of a divergent series goes to infinity or negative infinity.
A convergent series is a series whose terms approach a finite value as the number of terms increases. The sum of a convergent series does not go to infinity or negative infinity.