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AP Calculus AB/Unit 1: Limits and Continuity
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Horizontal Asymptotes of a Rational Function

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What are the equations of the horizontal asymptotes of the graph of y=5x2+2x2+1y = \displaystyle\frac{5x^2 + 2}{x^2 + 1}?

A

y=5\displaystyle y = 5 only

B

y=0\displaystyle y = 0 only

C

y=−5\displaystyle y = -5 and y=5y = 5 only

D

There are no horizontal asymptotes

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