format long fpi_err(@(x) x-(1+x.^5-3*x-2*x.^3)/(5*x.^4-3-6*x.^2), 0.0, 0.000000001, 20) r = 0.31375559086394 ans = | x_i | g(x_i) | error | error ratio | ans = 0 0.33333333333333 0.31375559086394 0 0.33333333333333 0.31392694063927 0.01957774246939 0.06239806728379 0.31392694063927 0.31375560390870 0.00017134977533 0.00875227445642 0.31375560390870 0.31375559086394 0.00000001304476 0.00007612939690 0.31375559086394 0.31375559086394 0.00000000000000 0.00000000851088 0.31375559086394 0.31375559086394 0.00000000000000 0.50000000000000 fpi_err(@(x) x-(1+x.^5-3*x-2*x.^3)/(5*x.^4-3-6*x.^2), +10, 0.000000001, 20) r = 1.68696945196329 ans = | x_i | g(x_i) | error | error ratio | ans = 10.00000000000000 8.01666093082576 8.31303054803671 0 8.01666093082576 6.43457013036314 6.32969147886246 0.76141804631734 6.43457013036314 5.17500916819970 4.74760067839985 0.75005246215461 5.17500916819970 4.17574078729860 3.48803971623640 0.73469526030400 4.17574078729860 3.38821508993022 2.48877133533531 0.71351576753853 3.38821508993022 2.77572434807706 1.70124563796692 0.68356847968024 2.77572434807706 2.31255185551781 1.08875489611377 0.63997512870327 2.31255185551781 1.98389013525226 0.62558240355451 0.57458515758458 1.98389013525226 1.78396937995683 0.29692068328896 0.47463081058847 1.78396937995683 1.70122800937365 0.09699992799354 0.32668632888446 1.70122800937365 1.68733462434025 0.01425855741036 0.14699554634009 1.68733462434025 1.68696969917752 0.00036517237696 0.02561075194709 1.68696969917752 1.68696945196341 0.00000024721423 0.00067697954116 1.68696945196341 1.68696945196329 0.00000000000011 0.00000045807537 1.68696945196329 1.68696945196329 0 0 fpi_err(@(x) x-(1+x.^5-3*x-2*x.^3)/(5*x.^4-3-6*x.^2), -10, 0.000000001, 20) r = -1.77101763930573 ans = | x_i | g(x_i) | error | error ratio | Warning: Divide by zero. > In fpi_err at 10 ans = -10.00000000000000 -8.01670141911452 8.22898236069427 0 -8.01670141911452 -6.43470110301740 6.24568377980880 0.75898616694590 -6.43470110301740 -5.17535365474763 4.66368346371167 0.74670502512288 -5.17535365474763 -4.17659757593184 3.40433601544190 0.72996721195407 -4.17659757593184 -3.39030137876715 2.40557993662612 0.70662235622880 -3.39030137876715 -2.78072700688811 1.61928373946142 0.67313653344337 -2.78072700688811 -2.32425833583764 1.00970936758238 0.62355308274646 -2.32425833583764 -2.00983549276571 0.55324069653191 0.54792073273181 -2.00983549276571 -1.83452501283894 0.23881785345998 0.43167079890734 -1.83452501283894 -1.77689864752601 0.06350737353321 0.26592389393473 -1.77689864752601 -1.77107375475125 0.00588100822028 0.09260354968396 -1.77107375475125 -1.77101764447360 0.00005611544553 0.00954180702087 -1.77101764447360 -1.77101763930573 0.00000000516788 0.00009209366453 -1.77101763930573 -1.77101763930573 0 0 -1.77101763930573 -1.77101763930573 0.00000000000000 Inf exit