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 |