1x1x3Solution x1 x0 fx0fx0 Now lets do it Start with a gue
1/x=1+x^3
Solution
x1 = x0 - f(x0)/f\'(x0) Now, let\'s do it! Start with a guess of your choice (x0), then calculate the next guess. Try say 2: x1 = 2 - 55/191 = 1.712042 So, here\'s the first 7 calculated estimates. You can see that it closes pretty well, to exceed the accuracy of my calculator: x0 2 x1 1.712041885 x2 1.523280774 x3 1.440930319 x4 1.426875188 x5 1.426509575 x6 1.426509334 x7 1.426509334 So, just program in the formula, and keep getting closer and closer answers. Start with a different x0 to find the other root (say starting with -2). Hint: there are two roots, at x= -1.335153971 1.426509334
