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

a. Write out the terms x₁, x₂, x₃.

b. Show that 1/2 ≤ x_n < 1, for n = 1, 2, 3,  . . .

c. Show that x_n is the right Riemann sum for using n subintervals.

d. Conclude that 

Transcribed Image Text:

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