Media Summary: Examples 5-7 estimating error in approximation of sum, finding number of terms to achieve a degree of accuracy in the partial ... Overview of flowchart, alternating harmonic series converges to ln(2) Definition of absolute and conditional convergence, example using Alternating Harmonic Series.
Math 251 Section 9 4d - Detailed Analysis & Overview
Examples 5-7 estimating error in approximation of sum, finding number of terms to achieve a degree of accuracy in the partial ... Overview of flowchart, alternating harmonic series converges to ln(2) Definition of absolute and conditional convergence, example using Alternating Harmonic Series. Alternating Series Test Introduction, and Ex . Ratio Test examples 14 and 15 (div and abs conv) Alternating Series Test Examples 2-4 one that converges, one that diverges, and one with a trick.
Ratio Test examples -17 (inconclusive, abs conv) Formula for sum of infinite geometric series, proof for convergence/divergence. Direct Comparison Test for series, ex -15. Power Series Example 3-4 (infinite radius and radius of zero) Limit Comparison Test for infinite series, ex -2.
