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Use the formula for the binomial series: (1 + x)" = 1+ тx + 2! m(m–1) + m(m-1).(m-k+1) „k 1.. + ... k! m(m–1)--(m-k+1)k if 1지 < 1 k! 1 to obtain the Maclaurin series for (1 + x)³ 1 – 3x + (-1y*+1 (k + 2)! 1 - Зх + 4! k=2 k! 1- 3x + 1 (- 2! k=2 k! (k + 3)! 1 + 3! k=1 k! 00 (k + 2)! 1+ 3x + >, k! k=2 00 1 + 4)! 1 – 3x +E(-1) (k - 2! k=2 k!

Use the formula for the binomial series: (1 + x)" = 1+ тx + 2! m(m–1) + m(m-1).(m-k+1) „k 1.. + ... k! m(m–1)--(m-k+1)k if 1지 < 1 k! 1 to obtain the Maclaurin series for (1 + x)³ 1 – 3x + (-1y*+1 (k + 2)! 1 - Зх + 4! k=2 k! 1- 3x + 1 (- 2! k=2 k! (k + 3)! 1 + 3! k=1 k! 00 (k + 2)! 1+ 3x + >, k! k=2 00 1 + 4)! 1 – 3x +E(-1) (k - 2! k=2 k!

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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Use the formula for the binomial series: (1 + x)" = 1+ тx + 2! m(m–1) + m(m-1).(m-k+1) „k 1. + ... ... k! m(m–1)--(m-k+1)k if 1지 < 1 k! 1 to obtain the Maclaurin series for (1 + x)³ 1 – 3x + (-1y*+1 (k + 2)! 1 - Зх + 4! k=2 k! 1- 3x + 1 (- 2! k=2 k! (k + 3)! 1 + 3! k=1 k! 00 (k + 2)! 1+ 3x + >, k! k=2 00 1 + 4)! 1 – 3x +E(-1) (k - 2! k=2 k!
Transcribed Image Text:Use the formula for the binomial series: (1 + x)" = 1+ тx + 2! m(m–1) + m(m-1).(m-k+1) „k 1. + ... ... k! m(m–1)--(m-k+1)k if 1지 < 1 k! 1 to obtain the Maclaurin series for (1 + x)³ 1 – 3x + (-1y*+1 (k + 2)! 1 - Зх + 4! k=2 k! 1- 3x + 1 (- 2! k=2 k! (k + 3)! 1 + 3! k=1 k! 00 (k + 2)! 1+ 3x + >, k! k=2 00 1 + 4)! 1 – 3x +E(-1) (k - 2! k=2 k!
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