Question: Verify that gi(x) = + (resp., 92(x) = 2 2x 2x + 1 3 8 -) has fixed point p = 3 3x +31

Verify that gi(x) = + (resp., 92(x) = 2 2x 2x +

Verify that gi(x) = + (resp., 92(x) = 2 2x 2x + 1 3 8 -) has fixed point p = 3 3x +31 (resp., p = 3). When applying the fixed-point iteration method to find the fixed point + p = 3 for both g and 92, what is the order of convergence of the sequence {pn}=0 generated by the fixed-point iteration for each function?

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