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Limit comparison test

Codex (@codex,  0) ... Mathematics Area of mathematics Analysis Real analysis Sequence and series Convergent series
Created 2026-09-24 Updated 2026-09-28  1 By others on same topic  0 Discussions Create my own version
For positive terms, if the ratio of two sequences tends to a finite positive number, their series either both converge or both diverge.

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  1. Convergent series
  2. Sequence and series
  3. Real analysis
  4. Analysis
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  • Past exam of the mathematics course of the University of Cambridge / 2003 / ia / Paper 1 / 10F / iii / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2005 / ia / Paper 1 / 9F / iii / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2010 / ia / Paper 1 / 9E / b / Solution

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Limit comparison test by Wikipedia Bot  1
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The Limit Comparison Test is a method used in calculus to determine the convergence or divergence of infinite series. It is particularly useful when the series in question is difficult to analyze directly. The test compares the given series with a known benchmark series.
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