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2. 1+x Determine the interval of convergence for the Taylor series of f (x)= In and 1-x show that f(x) may be represented by the series: x+ +... 5 The remainder after n terms is Rn+1 = 2 +... 2n+3 Show that 2n+1 2 1 2n+1 2n +1 1-x

2. 1+x Determine the interval of convergence for the Taylor series of f (x)= In and 1-x show that f(x) may be represented by the series: x+ +... 5 The remainder after n terms is Rn+1 = 2 +... 2n+3 Show that 2n+1 2 1 2n+1 2n +1 1-x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. 1+x Determine the interval of convergence for the Taylor series of f (x)= In and 1-x show that f(x) may be represented by the series: x+ +... The remainder after n terms is Rn-1 = 2 +... 2n+3 Show that 2n+1 1 2n+1 2n +1 1-x
Transcribed Image Text:2. 1+x Determine the interval of convergence for the Taylor series of f (x)= In and 1-x show that f(x) may be represented by the series: x+ +... The remainder after n terms is Rn-1 = 2 +... 2n+3 Show that 2n+1 1 2n+1 2n +1 1-x
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