Find the nth Maclaurin polynomial for the function. f(x) = eX, n = 5 %3!

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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MY NOTES
ASK YOUR TEAC
Find the nth Maclaurin polynomial for the function.
f(x) = eX, n = 5
P5(x) =
%3D
MY NOTES
ASK YOUR TEACH
Find the radius of convergence of the power series. (If you need to use o or -0, enter INFINITY or -INFINITY, respectively.)
Σ
(-1)" xn
2n
n = 0
MY NOTES
ASK YOUR TEACHI
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer using interval
notation. If the interval of convergence is a finite set, enter your answer using set notation.)
(5x)"
Σ
(2n)!
n = 0
Transcribed Image Text:MY NOTES ASK YOUR TEAC Find the nth Maclaurin polynomial for the function. f(x) = eX, n = 5 P5(x) = %3D MY NOTES ASK YOUR TEACH Find the radius of convergence of the power series. (If you need to use o or -0, enter INFINITY or -INFINITY, respectively.) Σ (-1)" xn 2n n = 0 MY NOTES ASK YOUR TEACHI Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer using interval notation. If the interval of convergence is a finite set, enter your answer using set notation.) (5x)" Σ (2n)! n = 0
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