1 1 1 Thus 10.3.73 16k2+8k-3 = (4k+3)(4k-1), so 4k – 1 4k +3 4 16k2 + 8k - 3 (4k +3)(4k - 1) 1 -1- 1 1. SO %3D This series telescopes, so Sn 4n – 1 the series given is equal to 4. k=0 4k - 1 4k +3 1 the sum of the series is equal to lim Sn = 4 n-00
1 1 1 Thus 10.3.73 16k2+8k-3 = (4k+3)(4k-1), so 4k – 1 4k +3 4 16k2 + 8k - 3 (4k +3)(4k - 1) 1 -1- 1 1. SO %3D This series telescopes, so Sn 4n – 1 the series given is equal to 4. k=0 4k - 1 4k +3 1 the sum of the series is equal to lim Sn = 4 n-00
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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For the part circled in pink, where did 1/4 come from?
![73.
k=016k² +8 k-3
M8
1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61b75115-d70f-4fe2-af93-2076876ad69a%2F9db2c4d4-1444-45d6-81c2-73771bad7e23%2F8a1adrp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:73.
k=016k² +8 k-3
M8
1.
![24
(a )
10.3.73 16k2+8k-3 = (4k+3)(4k-1), so
1
1
1
1
Thus
16k2 + 8k – 3 (4k + 3)(4k – 1)
4.
4k –1 4k +3
-
1
1
1
-1-
the series given is equal to
4.
k=0
SO
This series telescopes, so Sn
4n - 1
4k –1 4k +3
1
the sum of the series is equal to lim Sn
%3D
4
st
1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61b75115-d70f-4fe2-af93-2076876ad69a%2F9db2c4d4-1444-45d6-81c2-73771bad7e23%2Fddynx7h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:24
(a )
10.3.73 16k2+8k-3 = (4k+3)(4k-1), so
1
1
1
1
Thus
16k2 + 8k – 3 (4k + 3)(4k – 1)
4.
4k –1 4k +3
-
1
1
1
-1-
the series given is equal to
4.
k=0
SO
This series telescopes, so Sn
4n - 1
4k –1 4k +3
1
the sum of the series is equal to lim Sn
%3D
4
st
1.
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