$\"\"$

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The function $\"\"$ .

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Find the horizontal asymptote of function.

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Definition of a horizontal asymptote is $\"\"$ or $\"\"$ .

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$\"\"$

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The numerator and denominator approaches to infinity as $\"\"$ tends to infinity.

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$\"\"$

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If $\"\"$ then $\"\"$ .

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$\"\"$

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Cancel the common terms on numerator and denominator.

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$\"\"$

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As $\"\"$ then $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Horizontal asymptote is at $\"\"$ .

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$\"\"$

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$\"\"$

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The numerator and denominator approaches to infinity as $\"\"$ tends to infinity.

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$\"\"$

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If $\"\"$ then $\"\"$ .

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$\"\"$

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Cancel the common terms on numerator and denominator.

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$\"\"$

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As $\"\"$ then $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Horizontal asymptote is at $\"\"$ .

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Observe the given graphs.

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The Graph (c) has a horizontal asymptote at $\"\"$ and $\"\"$ denoted as dashed line.

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$\"\"$

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The Graph (c) is the graph of the function $\"\"$ .