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AP® Calculus AB-BC

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Moderate

Identify the Horizontal Asymptote

APCALC-LRQNXB

Find the horizontal asymptote for the given function:

$$y=\cfrac { ( 3x+2 ) ( x-4 ) }{ ( 5x-3 ) ( -2x+1 ) } $$

A

$y=-\cfrac{ 3 }{ 10 }$

B

$y=\cfrac{ 1 }{ 2 }$

C

$y=\cfrac{ 3 }{ 5 }$

D

There is no horizontal asymptote in this case.