la Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You may use the following fact: dk 교(n z)3 (-1)k-1 (k> 1) Find the interval of convergence of the Taylor scries of In(r) about I = a. Vour urork ehould cl arly juetifr vo ur aneuor

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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Find the Taylor series of In(r) about a for a > 0. Your answer should be in
sigma notation. You may use the following fact:
dak (In z) = (-1)k-1 (k – 1)!
6 Find the interval of convergence of the Taylor scries of In(r) about r = a.
dk
(k > 1)
Your work should clearly justify your answer.
Transcribed Image Text:la Find the Taylor series of In(r) about a for a > 0. Your answer should be in sigma notation. You may use the following fact: dak (In z) = (-1)k-1 (k – 1)! 6 Find the interval of convergence of the Taylor scries of In(r) about r = a. dk (k > 1) Your work should clearly justify your answer.
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