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Calculus II (MAT 146) Dr. Day Thursday Nov 7, 2013

Calculus II (MAT 146) Dr. Day Thursday Nov 7, 2013. More Series Convergence Tests The n th -Term Test aka The Divergence Test The Integral Test (11.3) The Comparison Test (11.4) The Limit Comparison Test (11.4) Assignments and Announcements.

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Calculus II (MAT 146) Dr. Day Thursday Nov 7, 2013

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  1. Calculus II (MAT 146)Dr. Day Thursday Nov 7, 2013 • More Series Convergence Tests • The nth-Term Test aka The Divergence Test • The Integral Test (11.3) • The Comparison Test (11.4) • The Limit Comparison Test (11.4) • Assignments and Announcements MAT 146

  2. Jot down anything and everything you can think of related to: CONVERGENCE/DIVERGENCE OF INFINITE SERIES • Commit to DIVERGE or CONVERGE for each of the series here: MAT 146

  3. Fact or Fiction? MAT 146

  4. A Series Convergence Test:The nth-Term Testalso calledThe Divergence Test MAT 146

  5. MAT 146

  6. Series Convergence or Divergence We have defined sequences and series and have considered a few particular series—geometric series, harmonic series, telescoping sums—and explored the convergence/divergence of these series. Our first test related to this is • The Divergence Test also known as The nth-Term Test: If the sequence of terms that comprise an infinite series DO NOT have a limit of 0, then the series DOES NOT converge. The series diverges. We now turn our attention more fully to the fate of infinite series. What strategies do we have for determining whether an infinite series converges or diverges? MAT 146

  7. Converge or Diverge? MAT 146

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  15. Remember . . . ? ? ? MAT 146

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  22. Converge or Diverge? MAT 146

  23. Converge or Diverge? (9) MAT 146

  24. Converge or Diverge? (12) MAT 146

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  26. Absolute ConvergenceandConditional Convergence MAT 146

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  29. Assignments WebAssign • Ch 11.3 due tonight at midnight • Ch 11.4 due Friday night MAT 146

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