(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

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