Let can be a series with positive terms such n=1 that the sequence (anti) of successive teams is Convergent, with limit L. (a) Prove that if OELI then Σan 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 49E
icon
Related questions
Question
Let can be a series with positive terms such
n=1
that the sequence (anti) of successive teams is
Convergent, with limit L.
(a) Prove that if OEL<I then Σan is convergent.
(b) Prove that if L>I then Σan is divergent.
Transcribed Image Text:Let can be a series with positive terms such n=1 that the sequence (anti) of successive teams is Convergent, with limit L. (a) Prove that if OEL<I then Σan is convergent. (b) Prove that if L>I then Σan is divergent.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax