(-1)"4"+1,n+1 3n+1(n +1) In this problem, we investigate the power series n=0 (a) Show that 5-1)"4"+1µn+1 3n+1(n + 1) 4.x is the Taylor series for the function f(x) = In 3 centred on I = 0. 4x (b) For which values of r is the series equal to In 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22RE
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(-1)"4"+17n+1
3n+1(n +1)
In this problem, we investigate the power series
n=0
(-1)"4"+1,n+1
3n+1(n + 1)
4.x
is the Taylor series for the function f(x) = In
(a) Show that
n=0
centred on r = 0.
4.x
(b) For which values of r is the series equal to In
+1
Transcribed Image Text:(-1)"4"+17n+1 3n+1(n +1) In this problem, we investigate the power series n=0 (-1)"4"+1,n+1 3n+1(n + 1) 4.x is the Taylor series for the function f(x) = In (a) Show that n=0 centred on r = 0. 4.x (b) For which values of r is the series equal to In +1
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