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

question 247

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) \(g _ { 2 } ( x ) = x ( x + 1 )\) \(\lim _ { x \rightarrow - 1 } g ( x ) = 4\)

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