Using xn+1=1+1xn2\displaystyle x_{n+1} = 1 + \frac{1}{x_n^2}xn+1=1+xn21 with x0=2x_0 = 2x0=2
Find the values of x1x_1x1, x2 x_2\,x2 and x3x_3x3.
Explain the relationship between the values of x1x_1x1, x2 x_2\,x2 and x3 x_3\,x3 and the equation x3−x2−1=0x^3 - x^2 - 1 = 0x3−x2−1=0
