For the series Fa suppose that lim an+1 = |. Prove the following: an n =1 If 0sL<1, then the series converges absolutely. If L> 1, the series diverges. If = 1, The test is inconclusive. Give two examples of series for which, L = 1 and the first is convergent and the second is divergent.
For the series Fa suppose that lim an+1 = |. Prove the following: an n =1 If 0sL<1, then the series converges absolutely. If L> 1, the series diverges. If = 1, The test is inconclusive. Give two examples of series for which, L = 1 and the first is convergent and the second is divergent.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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