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

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

3. 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

4. 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?

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

6. 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?

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

8. 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?

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

10. 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?

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

12. 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?

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

14. 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?

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