Suppose that you have the following power series, E an(x – 5)" n=0 Suppose that you know that this series converges at a = 8 and diverges at a = -1. For each of the following series decide whether it is convergent, divergent, or you don't have enough information to decide. ( a) Σ a, 5)" n=0 ( b) Σ a, 7)" n=0 (c) E an(-3)" n=0 ( d) Σ a,(-1)" n=0 (e) E nan(3)"-1 n=1 ( f ) Σ (7)"+1 n=0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
icon
Related questions
Question
Explain please
Suppose that you have the following power series, E an(x – 5)"
n=0
Suppose that you know that this series converges at x = 8 and diverges at x = -1.
For each of the following series decide whether it is convergent, divergent, or you don’t have enough
information to decide.
(a) I an(5)"
n=0
(b) E an(7)"
n=0
( c) Σ a(-3)"
n=0
( d) Σα(-1)"
n=0
(e)
па, (3)"-1
n=1
an
n+1
n+1
n=0
Transcribed Image Text:Suppose that you have the following power series, E an(x – 5)" n=0 Suppose that you know that this series converges at x = 8 and diverges at x = -1. For each of the following series decide whether it is convergent, divergent, or you don’t have enough information to decide. (a) I an(5)" n=0 (b) E an(7)" n=0 ( c) Σ a(-3)" n=0 ( d) Σα(-1)" n=0 (e) па, (3)"-1 n=1 an n+1 n+1 n=0
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

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