Project ForgeSign up free
Engineering Mathematics
Numerical Methods
GATE 2015
Medium

The equation x³−x=0 is solved using Newton-Raphson with initial guess x=0.5. The method converges to which value?

  • −1
  • B0
  • C1
  • D2

Explanation

x1=0.5−f(0.5)/f'(0.5)=0.5−(−0.375)/(−0.25)=0.5−1.5=−1. Since f(−1)=0, it converges (lands exactly) at −1.

Source: GATE CH 2015 (2015)

This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.

Start revising free