$\"\"$

\

The expression is $\"\"$ .

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Evaluate of the limit.

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$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

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L $\"\"$ Hospital $\"\"$ s Rule :

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If the value of limit is indeterminate form of type $\"\"$ or $\"\"$ , then

\

$\"\"$

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$\"\"$

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Since $\"\"$ use L $\"\"$ Hospital $\"\"$ s rule.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Since $\"\"$ use L $\"\"$ Hospital $\"\"$ s rule.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

The function repeats after applying L $\"\"$ Hospital $\"\"$ s rule twice.

\

Hence solve the limit using another method.

\

$\"\"$

\

The expression is $\"\"$ .

\

Rewrite the limit.

\

$\"\"$

\

$\"\"$

\

$\"\"$

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$\"\"$

\

As $\"\"$ tends to $\"\"$ the value of $\"\"$ approaches to $\"\"$ .

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$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Therefore, $\"\"$ .

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$\"\"$

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$\"\"$ .