QUICK CHECK 3 Verify that the series S(-1)*+'(x – 5)* Σ from Example 2 4k+1 k=0 diverges at x = 1 and x = 9. < EXAMPLE 2 Choosing a different center Find the Taylor series for f(x) centered at 5, and then determine its radius and interval of convergence.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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QUICK CHECK 3 Verify that the series
S(-1)*+'(x – 5)*
Σ
from Example 2
4k+1
k=0
diverges at x = 1 and x = 9. <
Transcribed Image Text:QUICK CHECK 3 Verify that the series S(-1)*+'(x – 5)* Σ from Example 2 4k+1 k=0 diverges at x = 1 and x = 9. <
EXAMPLE 2 Choosing a different center Find the Taylor series for f(x)
centered at 5, and then determine its radius and interval of convergence.
Transcribed Image Text:EXAMPLE 2 Choosing a different center Find the Taylor series for f(x) centered at 5, and then determine its radius and interval of convergence.
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