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Jse the formula for the binomial series: (1+x)= = = 1 + mx + 1+ Σ m(m-1)-2 ²x² + 2! m(m-1)--(m-k+1) k! m(m−1)---(m¬k+1), k! x < 1 + ²x if ²x +

Jse the formula for the binomial series: (1+x)= = = 1 + mx + 1+ Σ m(m-1)-2 ²x² + 2! m(m-1)--(m-k+1) k! m(m−1)---(m¬k+1), k! x < 1 + ²x if ²x +

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)" to obtain the Maclaurin series for 1 (1+x)4* 1+ 4x + Σ(k+ 3)! k! k=2 1- 4x +32 (−1)k (k+ 3)! jik 3! k! k=2 (k+4)! 4! k! k=1 k 1 - 4x + 3, Σ (−1)k (k+ 5)! x 3! k! k=2 1 - 4x + 5/12 ( − 1)²+1 (k + 3)! 5! k! k=2 = = 1 + mx + 1+ Σ m(m-1) ²x² +· 2! m(m−1)···(m—k+1)¸ k! + m(m−1)···(m−k+1), k! if x < 1 22x² +.
Transcribed Image Text:Use the formula for the binomial series: (1+x)" to obtain the Maclaurin series for 1 (1+x)4* 1+ 4x + Σ(k+ 3)! k! k=2 1- 4x +32 (−1)k (k+ 3)! jik 3! k! k=2 (k+4)! 4! k! k=1 k 1 - 4x + 3, Σ (−1)k (k+ 5)! x 3! k! k=2 1 - 4x + 5/12 ( − 1)²+1 (k + 3)! 5! k! k=2 = = 1 + mx + 1+ Σ m(m-1) ²x² +· 2! m(m−1)···(m—k+1)¸ k! + m(m−1)···(m−k+1), k! if x < 1 22x² +.
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