(-1)+16· 13 . 20.(7k – 8) * Use the formula for the binomial series: (1 + x)" = 1+ mx + m(m-1) m(m-1)--(m-k+1)t + ... *.* + 2! k! m(m-1)---(m-k+1) if 1+ E |x| < 1 %3D k=1 k! to obtain the Maclaurin series for V1+x. 13 - 20.(7k – 8) 1+ (-1*. 7* k! *+ E-1+6·13 · 20.(7k – 8). 7* k! k=2 · 13 - 20.(7k – 8) * 7k k! 1 +* + k=2

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:
m(m-1)..(m-k+1)
+
m(m-1)2
(1 + x)"
1+ mx +
2!
...
...
k!
1 + 2k=1
o m(m-1).--(m-k+1)
|x| < 1
k!
to obtain the Maclaurin series for V1 +x.
13· 20.(7k - 8).
1 + E(-1)*-
7k k!
k=1
6 13 20.(7k - 8)
00
1
7k k!
k=2
·((-1)*+16· 13 - 20(7k – 8)
7k k!
00
1
1+=x +
k=2
00
13· 20.(7k - 8)
1+ >
k!
k=1
00
1+r+ (-1)*+16· 13 · 20.(7k – 8)
Σ
k!
k=2
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Transcribed Image Text:Use the formula for the binomial series: m(m-1)..(m-k+1) + m(m-1)2 (1 + x)" 1+ mx + 2! ... ... k! 1 + 2k=1 o m(m-1).--(m-k+1) |x| < 1 k! to obtain the Maclaurin series for V1 +x. 13· 20.(7k - 8). 1 + E(-1)*- 7k k! k=1 6 13 20.(7k - 8) 00 1 7k k! k=2 ·((-1)*+16· 13 - 20(7k – 8) 7k k! 00 1 1+=x + k=2 00 13· 20.(7k - 8) 1+ > k! k=1 00 1+r+ (-1)*+16· 13 · 20.(7k – 8) Σ k! k=2 Save for Later Attempts: 0 of 1 used Submit Answer
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