# GATE1997-1.2

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The Newton-Raphson method is used to find the root of the equation $X^2-2=0$. If the iterations are started from -1, the iterations will

1. converge to -1

2. converge to $\sqrt{2}$

3. converge to $\sqrt{-2}$

4. not converge

First iteration:

Second iteration:

Third iteration:

Answer is B. General application of the formula will do.

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