what are the failure cases of Newton Raphson Method?

Question

I want list of failure cases for Newton-Raphson method. If possible please provide flow chart for Newton-Raphson method.

Answer 1

The Newton-Raphson Method is:

$$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$$

Since a fraction $\frac ab$ is undefined when $b=0$ or undefined, in this case that constiutes an equation $f(x)$ whose derivate cannot be found or is $0$.