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AP® Calculus AB-BC

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Moderate

Limits from a Table

APCALC-B4FYPG

The table below gives the values of three functions, $h$, $j$, and $k$, near $x = 1$.

Based on the values given, for which of the functions does it appear that the limit as $x$ approaches 1 is 3?

$$x \hspace{.8cm}$$ 0.7 0.8 0.9 1 1.1 1.2 1.3
$h(x)$ 3.017 3.007 3.001 3 3.001 3.007 3.017
$j(x)$ -1 -1 -1 3 3 3 3
$k(x)$ 2.977 2.988 2.998 undefined 2.998 2.988 2.977
A

$h$ only

B

$h$ and $j$ only

C

$h$ and $k$ only

D

$h$, $j$, and $k$