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A root $$\alpha$$ of equation f(x) = 0 can be computed to any degree of accuracyif a ‘good’ initial approximation $$ X_0 $$ is chosen for which
$$ f (X_0) > 0 $$
$$ f (X_0) f'' (X_0) > 0 $$
$$ f (X_0) f'' (X_0) < 0 $$
$$ f'' (X_0) > 0 $$
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