(Q4) Find a function f(x) and an interval [a,b] for which 9. 2n 1 | f(x)dx = lim Σ n3 k=n+1 1+ sin 2k n Note: that the upper bound of the sum is 2n (and not n)! Hint: You want to introduce a new summation index say j, so that your new summation goes from j =1 to j =n, as in the usual definition of the Riemann sum, that is, so that it looks as: ... j=1
(Q4) Find a function f(x) and an interval [a,b] for which 9. 2n 1 | f(x)dx = lim Σ n3 k=n+1 1+ sin 2k n Note: that the upper bound of the sum is 2n (and not n)! Hint: You want to introduce a new summation index say j, so that your new summation goes from j =1 to j =n, as in the usual definition of the Riemann sum, that is, so that it looks as: ... j=1
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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Question
![(Q4) Find a function f(x) and an interval [a,b] for which
2n
1
k2
| f(x)dx = lim
Σ
2k
k=n+1 1+ sin
n
Note: that the upper bound of the sum is 2n (and not n)!
Hint: You want to introduce a new summation index say j, so that
your new summation goes from j =1 to j =n, as in the usual
definition of the Riemann sum, that is, so that it looks as:
=WI](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F105caddc-c81e-409e-ab6c-69bf50c32c77%2F40b9dbe4-dccf-4446-8f85-b1006c6853ce%2Fg3efkwj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(Q4) Find a function f(x) and an interval [a,b] for which
2n
1
k2
| f(x)dx = lim
Σ
2k
k=n+1 1+ sin
n
Note: that the upper bound of the sum is 2n (and not n)!
Hint: You want to introduce a new summation index say j, so that
your new summation goes from j =1 to j =n, as in the usual
definition of the Riemann sum, that is, so that it looks as:
=WI
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