Use the formula for the binomial series: (1+x)" - I + mx + + . = 1+ E. if Jal < 1 to obtain the Maclaurin series for V1+x. 1+ 5.11-(4k – 5) k! ,3-7-11--(4k – 5) 4'k! (-1y 4k! 1++ £(-19+12-7 - 11--(4k – 5) 7-11--(44 - 5) (-1 I+

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:
- el +--
(1+ x)" = 1+ mx + + +
= 1+ Ei.
if
Jal < 1
to obtain the Maclaurin series for V1+I.
I+ S7.11(4k - 5)
E(-12-7-11-(4k – 5) ,
4k!
1++ E-19+3-7 - 1-(4k – 5).
4'k!
1++ £(-1y+13-7- 11-(4 – 5)
7-11.-(4k - 5)
I+ E(-1
4k!
Transcribed Image Text:Use the formula for the binomial series: - el +-- (1+ x)" = 1+ mx + + + = 1+ Ei. if Jal < 1 to obtain the Maclaurin series for V1+I. I+ S7.11(4k - 5) E(-12-7-11-(4k – 5) , 4k! 1++ E-19+3-7 - 1-(4k – 5). 4'k! 1++ £(-1y+13-7- 11-(4 – 5) 7-11.-(4k - 5) I+ E(-1 4k!
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