1) Consider the function the series diverges nothing f(x) = x 1-2x Give the Taylor series for f(x) for values of x near O f(x) = { {@ n=0 Give the interval of convergence open for this Taylor series Give the series expansion of f(x) for very large values of X f(x) = 2 n=0 Give the domain of convergence of the series

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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1
1) Consider the function
the series diverges
nothing
f(x) = x
1-2x
Give the Taylor series for f(x) for values of x near 0.
f(x) =
2
n = 0
7
Give the open interval of convergence for this Taylor series.
Give the series expansion of f(x) for very large values of X
f(x) = 2
nZo
Give the domain of convergence of the series
Transcribed Image Text:1 1) Consider the function the series diverges nothing f(x) = x 1-2x Give the Taylor series for f(x) for values of x near 0. f(x) = 2 n = 0 7 Give the open interval of convergence for this Taylor series. Give the series expansion of f(x) for very large values of X f(x) = 2 nZo Give the domain of convergence of the series
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