Lecture 10, Tuesday 1999/10/26, 8:00-9:50 AM: Proved Abel and Dirichelet tests. applied to \sum 1/m sin(mx), etc. Summarized various tests, (1) \lim a_n = 0? (2) Cauchy? (3) tests for nonnegative series, ratio, root, integral, Raab. (4) introduced test by expanding in Taylor series of 1/m. (5) Leibnitz test. (6) Abel and Dirichlelet. defined compact sets, examples {1, 1/2, 1/3,...} and {0, 1, 1/2, 1/3, ...}