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Direct Comparison Test

Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 examWritten by the Fiveable Content Team • Last updated September 2025

Definition

The Direct Comparison Test is a method used to determine whether an infinite series converges or diverges by comparing it with another known series. If the terms of the given series are smaller than the terms of a convergent series, then the given series also converges. If the terms are larger than the terms of a divergent series, then the given series also diverges.

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