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AP Calculus AB/Unit 1: Limits and Continuity
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Limit of a Rational Function at Infinity

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Solve the equation: lim⁡x→∞5∗x+72∗x−3\lim_{x \to \infty} \frac{5*x+7}{2*x-3}.

A

5∗x+72∗x−3\frac{5*x+7}{2*x-3}

B

Considering the dominant terms in the numerator and denominator, the limit equals the ratio of the coefficients, which is 52\frac{5}{2}.

C

5∗x2∗x\frac{5*x}{2*x}

D

52\frac{5}{2}

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