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...
Related questions
Question
100%
For the part circled in pink, where did 1/4 come from?

Transcribed Image Text:73.
k=016k² +8 k-3
M8
1.

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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning