$\"\"$

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(a)

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The function is $\"\"$ .

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The limit expression is $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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The limit is $\"\"$

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Evaluation of the limit. \ \

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore, $\"\"$ .

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$\"\"$

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(b)

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The function is $\"\"$ .

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The limit expression is $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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The limit is $\"\"$ .

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Evaluate the limit.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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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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$\"\"$

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

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$\"\"$

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The product rule of derivaive : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore, $\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ .