(d) f(x) = | | dx. 27 - 23

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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Part D please with neat handwriting please

1. Find a power series expansion with center c=0 for the following functions, and write down the radius
of convergence:
1
(a) f(x) =
16 + x4
1
(b) f(x) =
(Hint: take derivative of the power series expansion in (a))
(16+ x4)²
(c) f(x) :
27 – x3*
(d) f(x) = /
dx.
· x3
27 –
Transcribed Image Text:1. Find a power series expansion with center c=0 for the following functions, and write down the radius of convergence: 1 (a) f(x) = 16 + x4 1 (b) f(x) = (Hint: take derivative of the power series expansion in (a)) (16+ x4)² (c) f(x) : 27 – x3* (d) f(x) = / dx. · x3 27 –
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