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AP® Calculus AB-BC

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Moderate

Piecewise Polynomial Functions

APCALC-YHLTQX

Let:

$$ f(x) = \left\{ \begin{array}{ll} x^2-3 & x \lt -1 \\\ -\frac{1}{2}x+2 & x \geq -1 \end{array} \right. $$

What is:

$$\lim \limits_{x \to -1^+} f(x)?$$

A

$\cfrac{3}{2}$

B

$-2$

C

$3$

D

$\cfrac{5}{2}$