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  • Computer Science (GATE Exam) 2007 - Previous Question Paper Solution
  • Consider the series $x_{n+1} = \frac{x_n}{2}+\frac{9}{8x_...
Multiple choice

Consider the series $x_{n+1} = \frac{x_n}{2}+\frac{9}{8x_n},x_0 = 0.5$ obtained from the Newton-Raphson method. The series converges to

  1. 1.5

  2. $\sqrt{2}$
  3. 1.6

  4. 1.4

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A Correct answer
Explanation

The given series converges to 1.5.

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