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Write down the nth derivative of the function 1/z, and hence find the Taylor series of this function about the point 2 = 2. State the radius of convergence of the power series.

Write down the nth derivative of the function 1/z, and hence find the Taylor series of this function about the point 2 = 2. State the radius of convergence of the power series.

Algebra & Trigonometry with Analytic Geometry
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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Write down the nth derivative of the function 1/z, and hence find the Taylor series of this function about the point 2 = 2. State the radius of convergence of the power series.
Transcribed Image Text:Write down the nth derivative of the function 1/z, and hence find the Taylor series of this function about the point 2 = 2. State the radius of convergence of the power series.
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