f(2) = 2x² + x +; 3. a) Show that if you use the newton method on the function f(x) it not converges, instead is being cyclical if you start it with *o = 0 . b) Given function: f(x) = ax? +x+c with a...

Extracted text: f(2) = 2x² + x +; 3. a) Show that if you use the newton method on the function f(x) it not converges, instead is being cyclical if you start it with *o = 0 . b) Given function: f(x) = ax? +x+c with a ± 0 and c + 0 Which requirements need the coefficients a and c need to fulfill, in order for the newton method applied to the function f(x) to not converge, but instead being cyclical if you start it with Xo = 0.