Use the formula for the binomial series: m(m-1)..(m-k+1). k! m(m-1) (1+ x)" = 1 + mx + oDx? + ... + * + ... 1 + m(m-1)..(m-k+1) k k=1 |지 < 1 if k! 1 to obtain the Maclaurin series for (1 + x)8 * 1 1 + 8! k=1 (k + 8)! k! 1 1 - 8x +E-1i (k + 9)! 7! k=2 k! (k + 7)! 1+ 8x + > k! k=2 1 (k + 7)! 1- 8x + (-1)k+1, 9! k=2 k! (k + 7)! 1- 8x + k! k=2
Use the formula for the binomial series: m(m-1)..(m-k+1). k! m(m-1) (1+ x)" = 1 + mx + oDx? + ... + * + ... 1 + m(m-1)..(m-k+1) k k=1 |지 < 1 if k! 1 to obtain the Maclaurin series for (1 + x)8 * 1 1 + 8! k=1 (k + 8)! k! 1 1 - 8x +E-1i (k + 9)! 7! k=2 k! (k + 7)! 1+ 8x + > k! k=2 1 (k + 7)! 1- 8x + (-1)k+1, 9! k=2 k! (k + 7)! 1- 8x + 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 50E
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