Use the formula for the binomial series: (1 + x)" 1+ mx + m(m-1)2 + m(m–1)--(m–-k+1), + + ... k! m(m–1)---(m-k+1),nt if |x| < 1 1+ Σ k=l° k! 1 to obtain the Maclaurin series for * (1+x)³ 1 – 3x + (-1)*+1(k + 2)' 4! k=2 k! (k + 3)! 1+ 3! k=1 k! 1 1 – 3x +E(-1)*(k + 2)! k! k=2 + 4)! 1– 3x + : k! k=2 Σ (k + 2)! 1+ 3x + k! k=2
Use the formula for the binomial series: (1 + x)" 1+ mx + m(m-1)2 + m(m–1)--(m–-k+1), + + ... k! m(m–1)---(m-k+1),nt if |x| < 1 1+ Σ k=l° k! 1 to obtain the Maclaurin series for * (1+x)³ 1 – 3x + (-1)*+1(k + 2)' 4! k=2 k! (k + 3)! 1+ 3! k=1 k! 1 1 – 3x +E(-1)*(k + 2)! k! k=2 + 4)! 1– 3x + : k! k=2 Σ (k + 2)! 1+ 3x + k! k=2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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