Use the Graph to Determine the Limit Visually (If It $g ( x ) = \frac { x ^ { 3 } - x } { x - 1 }$

Multiple Choice

Use the graph to determine the limit visually (if it exists) .Then identify another function g₂(x) that agrees with the given function at all but one point.
$g ( x ) = \frac { x ^ { 3 } - x } { x - 1 }$ $$\lim _ { x \rightarrow - 1 } g ( x ) = ?$$

A) $g _ { 2 } ( x ) = x ( x + 1 )$ $\lim _ { x \rightarrow - 1 } g ( x ) = 0$
B) $g _ { 2 } ( x ) = 3 x ^ { 2 } + 1$ $\lim _ { x \rightarrow - 1 } g ( x ) = 4$
C) $g _ { 2 } ( x ) = 3 x ^ { 2 } - 1$ $\lim _ { x \rightarrow - 1 } g ( x ) = 2$
D) $g _ { 2 } ( x ) = x ( x - 1 )$ $\lim _ { x \rightarrow - 1 } g ( x ) = 2$
E) $g _ { 2 } ( x ) = x ( x + 1 )$ $\lim _ { x \rightarrow - 1 } g ( x ) = 4$