$x_{n+1} =x_n - f(x_n)/f'(x_n)$ |
$f(x)=x^2- 2$ |
$f'(x)=2x$
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$f(x)/f'(x) =(x^2 - 2) / (2x)$ |
3.00000000000000 | 7.00000000000000 | 6.00000000000000 | 1.16666666666667 | 1.83333333333334 | 1.36111111111111 | 3.66666666666667 | 0.371212121212122 | 1.46212121212121 | 0.137798438934803 | 2.92424242424243 | 0.0471227822264093 | 1.41499842989480 | 0.00222055660475729 | 2.82999685978961 | 0.000784649847605263 | 1.41421378004720 | 6.15675383563997E-7 | 2.82842756009440 | 2.17674085859724E-7 | 1.41421356237311 | 4.75175454539568E-14 | 2.82842712474623 | 1.67999893079162E-14 | 1.41421356237310 | -4.44089209850063E-16 | 2.82842712474619 | -1.57009245868378E-16 | 1.41421356237310 | 4.44089209850063E-16 | 2.82842712474619 | 1.57009245868378E-16 | 1.41421356237310 | -4.44089209850063E-16 | 2.82842712474619 | -1.57009245868378E-16 |
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