Find a power series representation centered at 0 for the following function using known power series. Give the interval of convergence for the resulting series. f(x)= In √100-> √100-x² Which of the following is the power series representation for f(x)? OA. In 10- OC. In 10+ 1 20 1 M8 k=1 X 10k 80 2k k=1 100 k The interval of convergence is (Simplify your answer. Type your answer in interval notation.) OB. In 10-. OD. In 10+ 1 Σ 2 M8 M8 k=1 20 +2k 100k k=1 2k 10k •k

Find a power series representation centered at 0 for the following function using known power series. Give the interval of convergence for the resulting series. f(x)= In √100-> √100-x² Which of the following is the power series representation for f(x)? OA. In 10- OC. In 10+ 1 20 1 M8 k=1 X 10k 80 2k k=1 100 k The interval of convergence is (Simplify your answer. Type your answer in interval notation.) OB. In 10-. OD. In 10+ 1 Σ 2 M8 M8 k=1 20 +2k 100k k=1 2k 10k •k

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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Question

Find a power series representation centered at 0 for the following function using known power series. Give the interval of convergence for the resulting series.