$\"\"$

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The $\"\"$ term of the sequence $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Apply L $\"\"$ Hospital $\"\"$ s rule.

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L $\"\"$ Hospital $\"\"$ s rule : $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Consider $\"\"$ .

\

Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Then $\"\"$ .

\

Therefore, the sequence is converges to $\"\"$ .

\

$\"\"$

\

The sequence is convergence to $\"\"$ .