Absolute convergence, ratio and root tests
Absolute Convergence
- If converges, then converges, and we say that the series converges absolutely.
- Let be any series and suppose that . Then (a) the series converges absolutely if , (b) the series diverges if , and (c) the test is inconclusive if .
- Let be any series and suppose that . Then (a) the series converges absolutely if , (b) the series diverges if , and (c) the test is inconclusive if .
Developed for use with Thomas' Calculus, published by Pearson.