Teaching JKPSC Lecturership Mock Test Series 2024-25 Mathematical Science Numerical Analysis Solutions of Algebraic & Transcendental Equation
The iterative method \(x_{n+1}=g(x_n)\) for the solution of x2 - x - 2 = 0 converges quadratically in a neighborhood of root the x = 2 if g(x) equals
1
x2 - 2
2
(x - 2)2 - 6
3
1 + \(\frac2x\)
4
\(\frac{x^2+2}{2x-1}\)