Chapter 1.2, Problem 21E

To determine

To show that $1-\sqrt{\frac{3}{5}},1\text{and}1+\sqrt{\frac{3}{5}}$ are fixed points of $g(x)=1-5x+\frac{15}{2}{x}^2-\frac{5}{2}{x}^3$ .

b.

To determine

To show that none of the three fixed points $1-\sqrt{\frac{3}{5}},1\text{and}1+\sqrt{\frac{3}{5}}$ is locally convergent.