GATE CSE 1999 | Question: 1.23

Question

The Newton-Raphson method is to be used to find the root of the equation $f(x)=0$ where $x_o$ is the initial approximation and $f’$  is the derivative of $f$. The method converges

• A. always
• B. only if $f$ is a polynomial
• C. only if $f(x_o) <0$
• D. none of the above

Answer 1

Answer: D

The method will usually converge, provided this initial guess is close enough to the unknown zero, and that f$'$(x₀) != 0.

Answer 2

Ans D

Comments

Yes it is D.

http://en.wikipedia.org/wiki/Newton%27s_method#Failure_analysis