Computer Science, (Numerical Methods), Nonlinear Equations in one variable,

2. (a) The equation (x-c)2 . ex-0 has a root at x* c, but if we run into a difficulty. want to use the bis ection method we would Explain (b) Suppose a function f(x) is continuous, has a continuous derivative, and has a zero at x*. Determine whether the following statement is true or false. If you think it is true, explain why. If you think it is false, give a counterexample "f,(x*)0 is a necessary condition for convergence of the bisec- tion method to x*." 2. (a) The equation (x-c)2 . ex-0 has a root at x* c, but if we run into a difficulty. want to use the bis ection method we would Explain (b) Suppose a function f(x) is continuous, has a continuous derivative, and has a zero at x*. Determine whether the following statement is true or false. If you think it is true, explain why. If you think it is false, give a counterexample "f,(x*)0 is a necessary condition for convergence of the bisec- tion method to x*