For the following function, find the full power series centered at x = = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. ∞ n f(x) = Σ| ±(−1)"(¥)" > n=0 9 f(x) = 8+4x 9x f(x) = 9x² 9x3 9x4 + + + 16 32 64 128 The open interval of convergence is: (-2,2) (Give your answer in interval notation.)
For the following function, find the full power series centered at x = = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. ∞ n f(x) = Σ| ±(−1)"(¥)" > n=0 9 f(x) = 8+4x 9x f(x) = 9x² 9x3 9x4 + + + 16 32 64 128 The open interval of convergence is: (-2,2) (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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