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The Newton-Raphson method is to be used to find the root of the equation $f(x)=0$ where $x_o$ is the initial approximation and $f’$  is the derivative of $f$. The method converges

1. always
2. only if $f$ is a polynomial
3. only if $f(x_o) <0$
4. none of the above
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+1 vote

The method will usually converge, provided this initial guess is close enough to the unknown zero, and that f$'$(x0) != 0.

Ans D
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