Fill in blank red boxes • Part 1: Partial FractionsUse the partial fractions method to express the function as a power series (centered at x =0) and give the open interval of convergence.8f(x) :x24х —12f(x) = 2 -(x^(n))/(6^(n+1))+((-x)^I%3Dn=0The open interval of convergence is: (-2,2)Give your answer in interval notation.- Part 2: Completing the SquareNow use the method of completing the square to express the function as a power series and give the natural center and open interval of convergence.8.f(x) :x2 — 4х12f(x) = En=0The center is:The open interval of convergence is:Give your answer in interval notation.

Answered: Image /qna-images/answer/5c77bc34-ca0c-42f4-9b2f-1db69cd45223.jpg

Now use the method of completing the square to express the function as a power series and give the natural center and open interval of convergence. 8 f(x) = x² – 4x – 12 00 Σ f(x) = n=0 The center is: The open interval of convergence is: Give your answer in interval notation. ..........................

Now use the method of completing the square to express the function as a power series and give the natural center and open interval of convergence. 8 f(x) = x² – 4x – 12 00 Σ f(x) = n=0 The center is: The open interval of convergence is: Give your answer in interval notation. ..........................

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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