Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k! = 1+ 5* . m(m–1)---(m–k+1) t is k! k=1" 1지 < 1 1 to obtain the Maclaurin series for (1+ x)6 1 + 6x + 5 k + 5)! k! k=2 (k + 6)! 1+ k! 1 – 6x +E(-1y+ (k + 5)! 5! k=2 k! °1- ar 1 – 6x + E(-1y*+1 (k + 5)! 7! k=2 k! 1 – 6x +E(-1*& + 7)', 5! k=2 k!
Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k! = 1+ 5* . m(m–1)---(m–k+1) t is k! k=1" 1지 < 1 1 to obtain the Maclaurin series for (1+ x)6 1 + 6x + 5 k + 5)! k! k=2 (k + 6)! 1+ k! 1 – 6x +E(-1y+ (k + 5)! 5! k=2 k! °1- ar 1 – 6x + E(-1y*+1 (k + 5)! 7! k=2 k! 1 – 6x +E(-1*& + 7)', 5! k=2 k!
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Use the formula for the binomial series:
(1 + x)" =
m(m-1),
+
m(m-1)---(m-k+1) + ..
+
1+ mx +
...
2!
k!
1 + Ei=1'
o m(m-1).--(m-k+1),
|x] < 1
if
k!
1
to obtain the Maclaurin series for
(1 + x)6
(k + 5)!
1+ 6x +
k!
k=2
00
(k + 6)!
1 +
6!
k=1
k!
(-1)* k + 5)!
k!
1
1– 6x +>
5!
k=2
00
1
(k + 5)!
1– 6x +E(-1)k+1
7!
k=2
k!
00
1
1 – 6x +E(-1y:k+
5!
k=2
k!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc332f245-233e-4413-8ac6-75dfae80a1d6%2F06cfec56-8ddb-42f6-8bd2-a6f86acf3d23%2Ffgahuuh_processed.png&w=3840&q=75)
Transcribed Image Text:Use the formula for the binomial series:
(1 + x)" =
m(m-1),
+
m(m-1)---(m-k+1) + ..
+
1+ mx +
...
2!
k!
1 + Ei=1'
o m(m-1).--(m-k+1),
|x] < 1
if
k!
1
to obtain the Maclaurin series for
(1 + x)6
(k + 5)!
1+ 6x +
k!
k=2
00
(k + 6)!
1 +
6!
k=1
k!
(-1)* k + 5)!
k!
1
1– 6x +>
5!
k=2
00
1
(k + 5)!
1– 6x +E(-1)k+1
7!
k=2
k!
00
1
1 – 6x +E(-1y:k+
5!
k=2
k!
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