THEOREM 10.21 Root Test Let Ea, be an infinite series, and let p = lim V]a. 1. If p < 1, the series converges absolutely, and therefore it converges (by Theorem 10.19). 2. If p > 1 (including p = ∞), the series diverges. 3. If p 1, the test is inconclusive. k=1
THEOREM 10.21 Root Test Let Ea, be an infinite series, and let p = lim V]a. 1. If p < 1, the series converges absolutely, and therefore it converges (by Theorem 10.19). 2. If p > 1 (including p = ∞), the series diverges. 3. If p 1, the test is inconclusive. k=1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Use the Ratio Test or the Root Test to determine the values of x for which the series converges.
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