es. [Assume that f has a power series expansion. Do not show that R₁(x) → 0.]

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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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) = In(1 + 5x)
00
Σ
Σ
n = 1
Find the associated radius of convergence R.
R = 0.2
f(x)
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) = In(1 + 5x) 00 Σ Σ n = 1 Find the associated radius of convergence R. R = 0.2 f(x)
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