$\"\"$

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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 that $\"\"$ 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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$\"\"$

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$\"\"$ definition:

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$\"\"$ change in $\"\"$ corresponds to $\"\"$ change in $\"\"$ .

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Consider $\"\"$ , then $\"\"$ .

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Graph:

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Graph of the function $\"\"$ :

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$\"\"$

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Therefore, $\"\"$ change in $\"\"$ corresponds to $\"\"$ change in $\"\"$ . $\"\"$

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$\"\"$ .