Allied & ICAR Exam Bank • ALLIED_0799 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Newton-Raphson method

Question Statement:

The order of convergence of the Newton-Raphson method for finding a simple root of a non-linear equation $f(x) = 0$ is:

Options:

  • (A) Quadratic (order 2)
  • (B) Linear (order 1)
  • (C) Superlinear (order 1.618)
  • (D) Cubic (order 3)

Answer Key:

A

Step-by-Step Solution & Explanation

The Newton-Raphson method exhibits quadratic convergence (order 2) near a simple root where $f'(r) \neq 0$.
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