The comparison test and limit comparison tests are reviewed and discussed for infinite series and examples are worked illustrating their use in determining convergence or divergence of certain infinite series. 6048 - Integral Test. The comparison test and limit comparison tests are reviewed and discussed for infinite series and examples are worked illustrating their use in determining convergence or divergence of certain infinite series. 6049 - Absolute Convergence and Alternating Series. Absolute convergence is reviewed as well as forms of the comparison test and limit comparison for series with negative as well as positive terms in the determination of absolute convergence.
Conditional convergence is reviewed.
Alternating series are defined and the nth term test for convergence of an alternating series is reviewed. Examples illustrating the concepts are worked as well as examples using the nth term to estimate the error in a partial sum and examples of finding the proper partial sum for estimating an alternating series sum to within predetermined error tolerance. 6050 - Ratio Test and Root Test. The ratio test and the root test for determining convergence or divergence of infinite series are reviewed and discussed. Examples are worked illustrating both tests as well as how to choose between the two n tests from the form of the nth term.