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Method of iterations

Equation: $ \left(5\,x-1\right)^{{{1}\over{3}}} =x$

Interval: $ \left[ 2 , 3 \right] $

Initial guess: $ x_0= 2 $

$ i $$ x_i = f(x_{i-1})$
02
12.080083823051904
22.110485660109074
32.121800735097898
42.125981363594511
52.127521846093482
62.128088922669903
72.128297596665243
82.128374374649281
92.128402622385395
102.12841301494935
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