Use the Graph to Determine the Limit Visually (If It $$f ( x ) = \frac { x ^ { 2 } - 1 } { x + 1 }$$

question 87

Multiple Choice

Use the graph to determine the limit visually (if it exists) .Then identify another function f₂(x) that agrees with the given function at all but one point.
$$f ( x ) = \frac { x ^ { 2 } - 1 } { x + 1 }$$ $\lim _ { x \rightarrow 2 } f ( x ) = ?$

• A) \(f _ { 2 } ( x ) = x - 1\) \(\lim _ { x \rightarrow 2 } f ( x ) = 1\)
• B) \(f _ { 2 } ( x ) = 2 x - 1\) \(\lim _ { x \rightarrow 2 } f ( x ) = 3\)
• C) \(f _ { 2 } ( x ) = 2 x + 1\) \(\lim _ { x \rightarrow 2 } f ( x ) = 5\)
• D) \(f _ { 2 } ( x ) = x + 1\) \(\lim _ { x \rightarrow 2 } f ( x ) = 5\)
• E) \(f _ { 2 } ( x ) = x + 1\) \(\lim _ { x \rightarrow 2 } f ( x ) = 3\)

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