Suppose we are given a power series centered at 0 Anx". n=0 153 for every n, what’s the radius of convergence R? If R is not +∞, is the series convergent = R, and is it convergent at x = –R? 153 (1) If an at x (2) If an = what's the radius of convergence R? If Ris not +0, is the series convergent at x = R, n2 and is it convergent at x = - R? (3) Come up with a power series (not necessarily centered at 0) that converges only at x = 153 but diverges elsewhere, and the sum of the seires at x = 153 is 153. Use computations to back up your answer.

Suppose we are given a power series centered at 0 Anx". n=0 153 for every n, what’s the radius of convergence R? If R is not +∞, is the series convergent = R, and is it convergent at x = –R? 153 (1) If an at x (2) If an = what's the radius of convergence R? If Ris not +0, is the series convergent at x = R, n2 and is it convergent at x = - R? (3) Come up with a power series (not necessarily centered at 0) that converges only at x = 153 but diverges elsewhere, and the sum of the seires at x = 153 is 153. Use computations to back up your answer.

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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