(For students who have studied calculus) Define x0, x1, x2,... as follows: xk = 0 2 +

Chapter 5, Problem 36

(choose chapter or problem)

(For students who have studied calculus) Define \(x_{0}, x_{1}, x_{2}\), . . . as follows:

\(x_{k}=\sqrt{2+x_{k-1}}\) for all integers k ≥ 1

\(x_0 = 0\)

Find \(lim_{n→∞} x_{n} . (Assume that the limit exists.)

Text Transcription:

x_0, x_1, x_2

x_k = sqrt 2+x_k-1

x_0 = 0

lim_n→∞ x_n