Question: Prove that if Newton's method is used on a function f for which f''is continuous andf(r)=0f'(r), then limnen+1en-2 exists and equals f''r2f'(r). How can thisfact

Prove that if Newton's method is used on a function f for which f''is continuous andf(r)=0f'(r), then limnen+1en-2 exists and equals f''r2f'(r). How can thisfact be used in a program to test whether convergence is quadratic?

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