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Method of iterations

Equation: $ 1-{{x^3}\over{2}} =x$

Interval: $ \left[ 0 , 1 \right] $

Initial guess: $ x_0= 1 $

$ i $$ x_i = f(x_{i-1})$
01
10.5
20.9375
30.5880126953125
40.89834467986566
50.63750751711667
60.87045342525367
70.67023343529087
80.84946126157604
90.69352098779031
100.83321813348164
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