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The function P(x) = { (x + x + 2) has a fixed point at x = 1. Starting with xo = 0.5, we use
The function P(x) = { (x + x + 2) has a fixed point at x = 1. Starting with xo = 0.5, we use xn+1 = P(xn) to obtain the sequence {xn} = 0.5, 1.1250, 0.9297, 1.0327, 0.9831, ...}. Describe the behavior of the se- quence. (If it converges, how does it converge? If it diverges, how does it diverge?) The function P(x) = { (x + x + 2) has a fixed point at x = 1. Starting with xo = 0.5, we use xn+1 = P(xn) to obtain the sequence {xn} = 0.5, 1.1250, 0.9297, 1.0327, 0.9831, ...}. Describe the behavior of the se- quence. (If it converges, how does it converge? If it diverges, how does it diverge?)
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