Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R(x)-0.1 f(x)-In(x), a-9 [x) - In(9) + Σ( Find the associated radius of convergence R. R=

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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Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R,(x)-0.1.
f(x)-In(x), a-9
f(x)= In(9) +
Σ(
Find the associated radius of convergence R.
R=
Transcribed Image Text:Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R,(x)-0.1. f(x)-In(x), a-9 f(x)= In(9) + Σ( Find the associated radius of convergence R. R=
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