The Integral Test & p-Series (9.3)

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Presentation transcript:

The Integral Test & p-Series (9.3) February 27th, 2017

The Integral Test Thm. 9.10: The Integral Test: If f is positive, continuous, and decreasing for and , then either both converge or diverge. and

Ex. 1: Use the Integral Test to determine the convergence or divergence of the series. b) (Harmonic Series)

p-Series & Harmonic Series Thm. 9.11: Convergence of p-Series: The p-series 1. converges if p>1, and 2. diverges if .

Ex. 2: Use the Integral Test to determine the convergence or divergence of the p-series. b)