Use the formula for the binomial series: (1 + x)" = 1+ mx + ² + … + m(m-1). m(m-1)--(m-k+1), + %3D ... 2! k! 1+2k=1 m(m-1)(m-k+1) if k! |x| < 1 %3D 1 to obtain the Maclaurin series for (1+x)° (k +9)! 1 + 9! k=D1 k! 1 1-9x + (-D(k+10)! 8! k=2 k! (k + 8)! 1+9x+ k! k=2 1 – 9x + E(-1y& + 8) 1- 9x +
Use the formula for the binomial series: (1 + x)" = 1+ mx + ² + … + m(m-1). m(m-1)--(m-k+1), + %3D ... 2! k! 1+2k=1 m(m-1)(m-k+1) if k! |x| < 1 %3D 1 to obtain the Maclaurin series for (1+x)° (k +9)! 1 + 9! k=D1 k! 1 1-9x + (-D(k+10)! 8! k=2 k! (k + 8)! 1+9x+ k! k=2 1 – 9x + E(-1y& + 8) 1- 9x +
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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