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Lesson 4 – P-Series General Form of P-Series is:

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Lesson 4 P-Series A Harmonic Series is a P-Series with P=1 Sooooo, the Harmonic Series DIVERGES

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Lesson 4 P-Series The other way to deal with P-Series is with The Integral Test Conditions for the integral test Either both convergeor both diverge

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Lesson 4 P-Series Ex 1 Let’s use The Integral Test to to show that the Harmonic Series (p=1) DIVERGES Does f(x) meet the conditions?

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Lesson 4 P-Series Sooooo, the Harmonic Series DIVERGES again! Soooo, now let’s apply The Integral Test

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Lesson 4 P-Series Ex 2 Let’s use The Integral Test to test the convergence of the P-Series with P=2 Does f(x) meet the conditions?

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Lesson 4 P-Series Sooooo, the P-Series with P=2 Converges Soooo, now let’s apply The Integral Test

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Lesson 4 P-Series Ex 3 Let’s use The Integral Test to test the convergence of the P-Series with P=1/2 Does f(x) meet the conditions?

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Lesson 4 P-Series Sooooo, the P-Series with P=1/2 DIVERGES Soooo, now let’s apply The Integral Test

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Lesson 4 P-Series Ex 4 Let’s use The Integral Test to test the convergence of the P-Series with P=3 Does f(x) meet the conditions?

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Lesson 4 P-Series Sooooo, the P-Series with P=3 CONVERGES Soooo, now let’s apply The Integral Test

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Lesson 4 P-Series Ex 5 Let’s use The Integral Test to test the convergence of the Series: Does f(x) meet the conditions?

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Lesson 4 P-Series Sooooo, the Series DIVERGES Soooo, now let’s apply The Integral Test

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Lesson 4 P-Series Ex 6 Let’s use The Integral Test to test the convergence of the Series: Does f(x) meet the conditions?

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Lesson 4 P-Series Sooooo, the Series CONVERGES Soooo, now let’s apply The Integral Test

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AP Calculus Miss Battaglia An infinite series (or just a series for short) is simply adding up the infinite number of terms of a sequence. Consider:

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