Chapter 7: Q. 18 (page 656)
The Root Test: Let be a series with nonnegative terms, and let
If ρ < 1, the series ___.
If ρ > 1, the series ___.
If ρ = 1, ___.
Short Answer
Let be a series with nonnegative terms, and let localid="1649361486379" .
If , the series diverges.
If , the series converges.
If , the test is inconclusive.