Use the formula for the binomial series: m(m-1)---(m-k+1),k + .. + m(m-1) (1 + x)" = 1+ mx + 2! ... k! 1+ 2k=! o m(m-1)---(m-k+1) „k if |x| < 1 k! to obtain the Maclaurin series for V1 + x. 1 1+-x + Σ E(-1)*+15· 11 · 17...(6k – 7) 6* k! k=2 00 11 · 17..(6k – 7) 1+ E(-1y11 6* k! k=1 1 5· 11 · 17...(6k – 7) 6k k! k=2 11 · 17...(6k – 7). 1+ k! k=1 1 1+x + 5· 11 · 17..(6k – 7) k! k=2 - To
Use the formula for the binomial series: m(m-1)---(m-k+1),k + .. + m(m-1) (1 + x)" = 1+ mx + 2! ... k! 1+ 2k=! o m(m-1)---(m-k+1) „k if |x| < 1 k! to obtain the Maclaurin series for V1 + x. 1 1+-x + Σ E(-1)*+15· 11 · 17...(6k – 7) 6* k! k=2 00 11 · 17..(6k – 7) 1+ E(-1y11 6* k! k=1 1 5· 11 · 17...(6k – 7) 6k k! k=2 11 · 17...(6k – 7). 1+ k! k=1 1 1+x + 5· 11 · 17..(6k – 7) k! k=2 - To
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the...
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Question
![Use the formula for the binomial series:
m(m-1)---(m-k+1),k + ..
+
m(m-1)
(1 + x)" =
1+ mx +
2!
...
k!
1+ 2k=!
o m(m-1)---(m-k+1) „k if
|x| < 1
k!
to obtain the Maclaurin series for V1 + x.
1
1+-x +
Σ
E(-1)*+15· 11 · 17...(6k – 7)
6* k!
k=2
00
11 · 17..(6k – 7)
1+ E(-1y11
6* k!
k=1
1
5· 11 · 17...(6k – 7)
6k k!
k=2
11 · 17...(6k – 7).
1+
k!
k=1
1
1+x +
Σ
5· 11 · 17..(6k – 7)
k!
k=2
- To](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8b9416a-4a90-43f7-8646-e1f3328a40c8%2F35d64676-ab9e-4e83-beb3-525d24205b69%2Fe244fdi_processed.png&w=3840&q=75)
Transcribed Image Text:Use the formula for the binomial series:
m(m-1)---(m-k+1),k + ..
+
m(m-1)
(1 + x)" =
1+ mx +
2!
...
k!
1+ 2k=!
o m(m-1)---(m-k+1) „k if
|x| < 1
k!
to obtain the Maclaurin series for V1 + x.
1
1+-x +
Σ
E(-1)*+15· 11 · 17...(6k – 7)
6* k!
k=2
00
11 · 17..(6k – 7)
1+ E(-1y11
6* k!
k=1
1
5· 11 · 17...(6k – 7)
6k k!
k=2
11 · 17...(6k – 7).
1+
k!
k=1
1
1+x +
Σ
5· 11 · 17..(6k – 7)
k!
k=2
- To
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