Lecture 8, 1999/10/19, 8:00-9:50 AM: alternative definition for bd(A), U open containing x, U contains points in A and A^c. next introdece the notion of converging sequence in R^n. Characterized closed sets and cl(A) using congerging sequences. Introuced limit points of a in the proof. defined convergence of series in R^n reviewed several testds for converging/diverging series in R, including integral test, p series, ratio and root test in weak form.