Question

9) Newton’s method cannot continue, if for some Pn-1

(a) f’(Pn+1)

(b) f’(P)

(c) f’(Pn-1)

(d) P

The question was asked in examination.

This is a very interesting question from 2N Newton Method topic in section Rigorous Distillation Calculations of Distillation Design

Answer 1

Correct answer is (c) f’(Pn-1)

Easy explanation: Newton’s method cannot continue if for some f’ (Pn-1), as the derivative at some point becomes zero then this is called as failure in the newton’s method.