2. I) Find the centre, radius, and interval of convergence for the given power series.Σ(13)" пIn n1(x+96)"006n(II) Determine all values of x where the given power series (a) absolutely convergent and(b) conditionally convergent.

To find the interval, center and radius of convergence.

2. I) Find the centre, radius, and interval of convergence for the given power series. 1 Σ (13) nInn 6n ue(96+x)- n=2 (II) Determine all values of x where the given power series (a) absolutely convergent and (b) conditionally convergent.

2. I) Find the centre, radius, and interval of convergence for the given power series. 1 Σ (13) nInn 6n ue(96+x)- n=2 (II) Determine all values of x where the given power series (a) absolutely convergent and (b) conditionally convergent.

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)+

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Question

2. I) Find the centre, radius, and interval of convergence for the given power series.
Σ
(13)" пIn n
1
(x+96)"
00
6n
(II) Determine all values of x where the given power series (a) absolutely convergent and
(b) conditionally convergent.

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