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AP Calculus BC/Unit 1: Limits and Continuity
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Finding Horizontal Asymptotes

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What are the horizontal asymptotes of the graph of y=x2+1x4+2x2+4y = \displaystyle\frac{x^2 + 1}{\sqrt{x^4 + 2x^2 + 4}}?

A

y=1\displaystyle y = 1 only

B

y=2\displaystyle y = 2 only

C

y=0\displaystyle y = 0 only

D

y=−1\displaystyle y = -1 and y=1y = 1 only

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