Use the formula for the binomial series: (1 +x)" = 1+ mx + + + -1) %3D = I+ Ei to obtain the Maclaurin series for (1 + x)" 1- 7x +(-1+6N, k! n2 1-7x + A! 8!

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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Use the formula for the binomial series:
(1+x)" = 1+ mx + +
...
21
= 1+ Ein
if al < 1
1
to obtain the Maclaurin series for
(1 +x)
1- 7* +(-1&+6t
k!
%3D2
1- 7x +E(-1k + 6V
A-2
19+
%3D2
1- 7x +
k!
Ax2
(k+6)
1+ 7x + *
k!
(k+7
1+7
k!
Transcribed Image Text:Use the formula for the binomial series: (1+x)" = 1+ mx + + ... 21 = 1+ Ein if al < 1 1 to obtain the Maclaurin series for (1 +x) 1- 7* +(-1&+6t k! %3D2 1- 7x +E(-1k + 6V A-2 19+ %3D2 1- 7x + k! Ax2 (k+6) 1+ 7x + * k! (k+7 1+7 k!
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