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Use the formula for the binomial series: (1 + x)" : 1+ mx + 2! m(m-1)2 m(m-1)(m-k+l) +... k! m(m-1)(m-k+1) k! 1지 < I to obtain the Maclaurin series for (1 + x)³* - 3x + - 4/ k=2 (-1)*+1 (k + 2)!t k! + 2)! – 3x + (-1* k- k! k=2 (k + 2)! k 1 + 3x + E k! k=2 (k + 3)! 3! + k! (- 1)*k + 4)! k! 1- 3x + k=2

Use the formula for the binomial series: (1 + x)" : 1+ mx + 2! m(m-1)2 m(m-1)(m-k+l) +... k! m(m-1)(m-k+1) k! 1지 < I to obtain the Maclaurin series for (1 + x)³* - 3x + - 4/ k=2 (-1)*+1 (k + 2)!t k! + 2)! – 3x + (-1* k- k! k=2 (k + 2)! k 1 + 3x + E k! k=2 (k + 3)! 3! + k! (- 1)*k + 4)! k! 1- 3x + k=2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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! m(m-1)-(m-k+1). * if I지 < 1 k! 1 to obtain the Maclaurin series for (1 + x)³* 1- 3x + 4! k=2 2(-1)+1(k+ 2)! k! (k + 2)! 2! 2(-1) k! 1- 3x + k=2 (k + 2)!* 1+ 3x + 2 k! k=2 (k + 3)! 1 + 3! k=1 Σ k! 2(-1)(k+ 4)! k! 1- 3x + k=2
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! m(m-1)-(m-k+1). * if I지 < 1 k! 1 to obtain the Maclaurin series for (1 + x)³* 1- 3x + 4! k=2 2(-1)+1(k+ 2)! k! (k + 2)! 2! 2(-1) k! 1- 3x + k=2 (k + 2)!* 1+ 3x + 2 k! k=2 (k + 3)! 1 + 3! k=1 Σ k! 2(-1)(k+ 4)! k! 1- 3x + k=2
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