1) (-1)"(4x + 1)″ For what values of x does the series converge? n=0 a) Find the radius and interval of convergence. b) Interval of absolute convergence. c) Interval of conditional convergence. (-1)"(x + 2)" n For what values of x does the series converge? 2) a) Find the radius and interval of convergence. b) Interval of absolute convergence. c) Interval of conditional convergence. 3) 3"x" n! a) Find the radius and interval of convergence. b) Interval of absolute convergence. For what values of x does the series converge?

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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1)
(-1)"(4x + 1)" For what values of x does the series converge?
n=0
a) Find the radius and interval of convergence.
b) Interval of absolute convergence.
c) Interval of conditional convergence.
(-1)"(x + 2)"
2)
a) Find the radius and interval of convergence.
b) Interval of absolute convergence.
c) Interval of conditional convergence.
For what values of x does the series converge?
n
3"x"
n!
3) Σ
Σ
n=0
a) Find the radius and interval of convergence.
b) Interval of absolute convergence.
c) Interval of conditional convergence.
For what values of x does the series converge?
Transcribed Image Text:1) (-1)"(4x + 1)" For what values of x does the series converge? n=0 a) Find the radius and interval of convergence. b) Interval of absolute convergence. c) Interval of conditional convergence. (-1)"(x + 2)" 2) a) Find the radius and interval of convergence. b) Interval of absolute convergence. c) Interval of conditional convergence. For what values of x does the series converge? n 3"x" n! 3) Σ Σ n=0 a) Find the radius and interval of convergence. b) Interval of absolute convergence. c) Interval of conditional convergence. For what values of x does the series converge?
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