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
The ratio test is used to determine whether an infinite series converges absolutely, converges conditionally, or diverges by examining the limit of the ratio of consecutive terms.
Related terms
Absolute Convergence: A type of convergence where both positive and negative terms in a series converge individually.
Conditional Convergence: A type of convergence where rearranging the order of terms in a convergent series can change its sum.
Divergence Test: A method used to determine whether an infinite series diverges by checking if its terms do not approach zero.