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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 horizontal asymptotes of the graph of y=x3−2x2+1x2+4y = \displaystyle\frac{x^3 - 2x^2 + 1}{x^2 + 4}?

A

y=0\displaystyle y = 0 only

B

y=−2\displaystyle y = -2 and y=2y = 2 only

C

There are no horizontal asymptotes

D

y=1\displaystyle y = 1 only

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