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Method of iterations

Equation: $ \sqrt{\log \left(4-e^{x}\right)} =x$

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

Initial guess: $ x_0= 1 $

$ i $$ x_i = f(x_{i-1})$
01
10.49819825304769
20.92532198469594
30.6246834147868
40.8701853276387
50.69128631561383
60.83366935239254
70.72773538085097
80.81075251601307
90.74822738070439
100.79677813613577
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