Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R(x) → 0.] f(x) = sin(x) f(x) = Σ( n=0 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
Section10.3: Geometric Sequences
Problem 50E
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Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not
show that R(x) → 0.]
f(x) = sin(x)
Σ(
n = 0
Find the associated radius of convergence R.
f(x) =
R =
Transcribed Image Text:Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R(x) → 0.] f(x) = sin(x) Σ( n = 0 Find the associated radius of convergence R. f(x) = R =
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