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Limit Comparison Test

  • Definition: Assume that a_n > 0 and b_n > 0 for all n, and suppose that limit as n goes to infinity of (a_n)/(b_n) = 1. Then sum(a_n) converges if, and only if, sum(b_n) converges.

    Source: Mathematical Analysis, second edition by Tom M. Apostol

  • Listed under: Mathematical Analysis, Multivariable Calculus

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