A sequence of sums Consider the sequence 5xn6 defined for
Chapter 8, Problem 69(choose chapter or problem)
A sequence of sums Consider the sequence 5xn6 defined for n = 1, 2, 3, c by xn = a 2n k = n + 1 1 k = 1 n + 1 + 1 n + 2 + g+ 1 2n . a. Write out the terms x1, x2, x3. b. Show that 12 xn 6 1, for n = 1, 2, 3, c. c. Show that xn is the right Riemann sum for L 2 1 dx x using n subintervals. d. Conclude that lim nS_ xn = ln 2.
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