$\"\"$

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The function is $\"\"$ .

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Let $\"\"$

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$\"\"$

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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The interval is $\"\"$ .

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Newtons approximation method formula : $\"\"$ .

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Perform newton approximation for $\"\"$ .

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Newton formula : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Similarly perform newton approximation for $\"\"$ .

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Newton formula : $\"\"$ .

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$\"\"$

\

$\"\"$

\

Similarly perform newton approximation for $\"\"$ .

\

Newton formula : $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Similarly perform newton approximation for $\"\"$ .

\

Newton formula : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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The fixed point is approximartely $\"\"$ .