Chapter 0.1, Problem 1CP

Use the function nest to evaluate $P(x)=1+x+\mathrm{...}+x^{50}$ at $x=1.00001$ . (Use the MATLAB ones command to save typing.) Find the error of the computation by comparing with the equivalent expression $Q(x)=\left(x^{51}-1\right)/\left(x-1\right)$ .