$\"\"$

\

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

\

$\"\"$

\

$\"\"$ .

\

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

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

\

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

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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 $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Then $\"\"$ .

\

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

\

$\"\"$

\

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