AP Calculus ABmediummcq1 pt

limxx3+2x2x2+1=\lim_{x\to\infty}\dfrac{x^3+2x}{2x^2+1}=

A.00
B.12\frac{1}{2}
C.22
D.\infty

Explanation

Core Concept

The numerator has degree 33 and the denominator degree 22. Dividing numerator and denominator by x2x^2 gives x+2x2+1x2\frac{x+\frac{2}{x}}{2+\frac{1}{x^2}}, whose numerator grows without bound, so the limit is \infty.

Correct Answer

D\infty

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