2) Series Limit Values (a) Let a be a positive real number. Justify that with this, the series 5 (1+a)k Στα always converges and give the limit value in dependence on a. Simplify your result as much as possible.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
Question
2) Series Limit Values
(a) Let a be a positive real number. Justify that with this, the series
5
(1+a)k
Στα
always converges and give the limit value in dependence on a. Simplify your result as much as possible.
Transcribed Image Text:2) Series Limit Values (a) Let a be a positive real number. Justify that with this, the series 5 (1+a)k Στα always converges and give the limit value in dependence on a. Simplify your result as much as possible.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

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