Question: Consider the sequence {x n } defined for n = 1, 2, 3, . . . by a. Write out the terms x 1 ,

Consider the sequence {xn} defined for n = 1, 2, 3, . . . by

2n 1 2n n + 1 n + 2 k k=n+1 ||

a. Write out the terms x1, x2, x3.

b. Show that 1/2 ≤ xn

c. Show that xn is the right Riemann sum for xp, using n subintervals.

d. Conclude that 2n 1 2n n + 1 n + 2 k k=n+1 ||

2n 1 2n n + 1 n + 2 k k=n+1 || xp,

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