------------------------------------------------------------------------------------------------ |iteration | a | (a+b)/2 | b | f(a) | f((a+b)/2) | f(b) | ------------------------------------------------------------------------------------------------ | 1: | 2.00000000 | 2.50000000 | 3.00000000 | -0.30685282 | -0.08370927 | 0.09861229 | | 2: | 2.50000000 | 2.75000000 | 3.00000000 | -0.08370927 | 0.01160091 | 0.09861229 | | 3: | 2.50000000 | 2.62500000 | 2.75000000 | -0.08370927 | -0.03491910 | 0.01160091 | | 4: | 2.62500000 | 2.68750000 | 2.75000000 | -0.03491910 | -0.01138861 | 0.01160091 | | 5: | 2.68750000 | 2.71875000 | 2.75000000 | -0.01138861 | 0.00017222 | 0.01160091 | | 6: | 2.68750000 | 2.70312500 | 2.71875000 | -0.01138861 | -0.00559149 | 0.00017222 | | 7: | 2.70312500 | 2.71093750 | 2.71875000 | -0.00559149 | -0.00270548 | 0.00017222 | | 8: | 2.71093750 | 2.71484375 | 2.71875000 | -0.00270548 | -0.00126560 | 0.00017222 | | 9: | 2.71484375 | 2.71679688 | 2.71875000 | -0.00126560 | -0.00054643 | 0.00017222 | | 10: | 2.71679688 | 2.71777344 | 2.71875000 | -0.00054643 | -0.00018704 | 0.00017222 | ------------------------------------------------------------------------------------------------ zero of ln(x)-1 found at 2.71777344 in 10 iterations (tolerance is 0.001000, exact value is 2.71828183) ------------------------------------------------------------------------------------------------ |iteration | a | (a+b)/2 | b | f(a) | f((a+b)/2) | f(b) | ------------------------------------------------------------------------------------------------ | 1: | 1.00000000 | 1.50000000 | 2.00000000 | -4.00000000 | 0.06250000 | 11.00000000 | | 2: | 1.00000000 | 1.25000000 | 1.50000000 | -4.00000000 | -2.55859375 | 0.06250000 | | 3: | 1.25000000 | 1.37500000 | 1.50000000 | -2.55859375 | -1.42553711 | 0.06250000 | | 4: | 1.37500000 | 1.43750000 | 1.50000000 | -1.42553711 | -0.72996521 | 0.06250000 | | 5: | 1.43750000 | 1.46875000 | 1.50000000 | -0.72996521 | -0.34637356 | 0.06250000 | | 6: | 1.46875000 | 1.48437500 | 1.50000000 | -0.34637356 | -0.14516443 | 0.06250000 | | 7: | 1.48437500 | 1.49218750 | 1.50000000 | -0.14516443 | -0.04214763 | 0.06250000 | | 8: | 1.49218750 | 1.49609375 | 1.50000000 | -0.04214763 | 0.00997126 | 0.06250000 | | 9: | 1.49218750 | 1.49414062 | 1.49609375 | -0.04214763 | -0.01613928 | 0.00997126 | | 10: | 1.49414062 | 1.49511719 | 1.49609375 | -0.01613928 | -0.00309680 | 0.00997126 | ------------------------------------------------------------------------------------------------ zero of x^4-5 found at 1.49511719 in 10 iterations (tolerance is 0.001000, exact value is 1.49534878)