4/10/2009

• Convergence with Series
• Tests for Convergence, Part I

§ The Comparison Test

§ The Limit Comparison Test

§ The Integral Test

§ The p-test for series

§ Examples

§ Practice (#1, 3, 4, 6, 7 only)

§ Proof: Why does the harmonic series diverge?

§ The Comparison Test and tails: Can we be more precise in our convergence statements?

§ Examples

• Tests for Convergence, Part II – The Ratio Test

§ Examples

§ Practice (skip #8 and #11)

• Summary: Tests for Convergence

Practice Problems: Section 11.3: See today’s Practice problems above.

There will be a quiz over Sections 11.1 and 11.2 on Monday.

Test Wednesday! (Covering Chapters 7, 9, 10, and 11.1 – 11.3)