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Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. F(x) = arctan(x8) Σ n = 0

Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. F(x) = arctan(x8) Σ n = 0

Calculus: Early Transcendentals
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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The second image i've attached is the table the question is refering to.

1 E x" = 1 + x + x² + x³ + • · R = 1 ... 1 - X n=0 x? e* = · x" 1 + R = 00 %3D 1! 2! 3! n=0 n! x2n+1 E(-1)" x + 5! x' + 7! sin x = R = 00 = r - - (2n + 1)! 3! n=0 x2 1 2! x* E(-1)* (2n)! R = 00 + 6! cos x = 4! n=0 x2n+1 x' x' tan='x = E(-1)" R = 1 2n + 1 3 5 7 x? x* + 4 00 In(1 + x) = E(-1)“-1 - x" = X R = 1 ... n 2 3 n=1 k(k – 1) -x² + 2! k(k – 1)(k – 2) (1 + x)* = E k x" = 1 + kx + x³ + · .. R = 1 3! n-0
Transcribed Image Text:1 E x" = 1 + x + x² + x³ + • · R = 1 ... 1 - X n=0 x? e* = · x" 1 + R = 00 %3D 1! 2! 3! n=0 n! x2n+1 E(-1)" x + 5! x' + 7! sin x = R = 00 = r - - (2n + 1)! 3! n=0 x2 1 2! x* E(-1)* (2n)! R = 00 + 6! cos x = 4! n=0 x2n+1 x' x' tan='x = E(-1)" R = 1 2n + 1 3 5 7 x? x* + 4 00 In(1 + x) = E(-1)“-1 - x" = X R = 1 ... n 2 3 n=1 k(k – 1) -x² + 2! k(k – 1)(k – 2) (1 + x)* = E k x" = 1 + kx + x³ + · .. R = 1 3! n-0
Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. F(x) = arctan(x³) n = 0
Transcribed Image Text:Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. F(x) = arctan(x³) n = 0
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