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AP® Calculus AB-BC

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Limits at Infinity: A Rational Function

APCALC-LXEN9R

Find the indicated limit:

$$\lim _{ x\xrightarrow { } \infty } \cfrac { { x }^{ 2 }-5x+3 }{ { x }^{ 3 }-5x-8 } $$

A

$1$

B

$-\cfrac { 3 }{ 8 } $

C

$0$

D

The limit does not exist.