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10.5 The Ratio, Root, and Comparison Test

10.5 The Ratio, Root, and Comparison Test. Math 6B Calculus II. The Ratio Test. Then a) the series converges if r < 1. b) the series diverges if r > 1. c) the test is inconclusive if r = 1. The Root Test. Then a ) the series converges if r < 1.

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10.5 The Ratio, Root, and Comparison Test

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  1. 10.5 The Ratio, Root, and Comparison Test Math 6B Calculus II

  2. The Ratio Test Then a) the series converges if r < 1. b) the series diverges if r > 1. c) the test is inconclusive if r = 1.

  3. The Root Test Then a) the series converges if r < 1. b) the series diverges if r > 1. c) the test is inconclusive if r = 1

  4. The Comparison Test(a.k.a – Direct Comparison Test) • Suppose that and are series with positive terms.

  5. The Limit Comparison Test

  6. The Limit Comparison Test • If L = 0 then converges, then converges. • If L = and diverges, then diverges.

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