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1. Consider the power series 272 n=0 (x-1)". Find the interval of convergence; find the function f(r) represented by the series; sketch the graph of f(x) for -3 ≤ x ≤ 7; indicate the center of the series and interval of convergence on the x-axis.

1. Consider the power series 272 n=0 (x-1)". Find the interval of convergence; find the function f(r) represented by the series; sketch the graph of f(x) for -3 ≤ x ≤ 7; indicate the center of the series and interval of convergence on the x-axis.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the power series 27 n=0 (x-1)". Find the interval of convergence; find the function f(r) represented by the series; sketch the graph of f(x) for -3 ≤ x ≤ 7; indicate the center of the series and interval of convergence on the x-axis.
Transcribed Image Text:1. Consider the power series 27 n=0 (x-1)". Find the interval of convergence; find the function f(r) represented by the series; sketch the graph of f(x) for -3 ≤ x ≤ 7; indicate the center of the series and interval of convergence on the x-axis.
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