to obtain the MacLaurin series for (a) (1+x) 00 (1+x) = 1 + mx + k=0 m(m-1), 21 1-8x+89/2x^2-8-9-10/31x^3+(8*9*10* (b) √1 + x = 1+x/7+(1/7)(-6/7)/21x^2+(1/7)(-6/7)(-13/7)/31x^3 + m(m-1) (m-k+ 1), k! +….. ⠀⠀ + Enter first 4 terms only.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Please answer both parts

to obtain the MacLaurin series for
(1+x)"
00
(1+x)" = 1+ mx +
k=0
m(m-1)
21
= 1-8x+8'9/2x^2-89 10/31x^3+(8*9*10*
(b) √1 + x = 1+x/7+(1/7)(-6/7)/21x^2+(1/7)(-6/7)(-13/7)/31x^3
+
m(m-1) (m-k+1),
***
k!
+Enter first 4 terms only.
Transcribed Image Text:to obtain the MacLaurin series for (1+x)" 00 (1+x)" = 1+ mx + k=0 m(m-1) 21 = 1-8x+8'9/2x^2-89 10/31x^3+(8*9*10* (b) √1 + x = 1+x/7+(1/7)(-6/7)/21x^2+(1/7)(-6/7)(-13/7)/31x^3 + m(m-1) (m-k+1), *** k! +Enter first 4 terms only.
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