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ExamsGATEEngineering Mathematics

The Newton-Raphson iteration xₙ₊₁ = 1/2 (xₙ + R/xₙ) can be used to compute the

  1. square of R
  2. reciprocal of R
  3. square root of R
  4. logarithm of R

Correct answer: square root of R

Solution

The Newton-Raphson iteration formula provided is specifically designed to approximate the square root of a number R by iteratively refining guesses based on the average of the current guess and the quotient of R and the current guess.

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