1. Mathematics
2. Numerical Analysis
3. 44140

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Let g(x) = 0.5x + 1.5 and p0 = 4, and consider fixed-point iteration.
a) Show that the fixed point is P=3
b) Show that |P - Pn| = |P - Pn-1|/2 for n = 1, 2, 3...
c) Show that |P - Pn| = |P - P0|/2^2 for n = 1, 2, 3...