$\"\"$

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The limit of the function is $\"\"$ .

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$\"\"$ definition of limit :

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$\"\"$ ,

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if for every number of $\"\"$ , there exists a $\"\"$ such number $\"\"$ whenever $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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Consider $\"\"$ .

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$\"\"$ .

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Observe the relation between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ must be in terms of $\"\"$ , with no other variables depending on it.

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Since $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ value is minimum, when $\"\"$ is maximum.

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$\"\"$

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From the above, the restrictions are $\"\"$ and $\"\"$ .

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Then the obtained relation is $\"\"$ .

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$\"\"$

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$\"\"$ .