$\"\"$

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The function is $\"\"$

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Consider $\"\"$

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$\"\"$

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

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Prove the limit $\"\"$ using $\"\"$ definition.

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To show that for each $\"\"$ , there exists a $\"\"$ such that $\"\"$ whenever $\"\"$ .

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Consider $\"\"$

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$\"\"$

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Since your option of $\"\"$ depends on $\"\"$ , we establish a connection between the absolute values $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the relationship between two absolute values $\"\"$ and $\"\"$ .

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$\"\"$

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Hence $\"\"$ .

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$\"\"$

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$\"\"$ .