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(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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 47E
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(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
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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