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Use Limits to Describe the Behavior of the Rational Function f(x)=3x−4f ( x ) = \frac { 3 } { x - 4 }

Question 4

Multiple Choice

Use limits to describe the behavior of the rational function near the indicated asymptote.
- f(x) =3x−4f ( x ) = \frac { 3 } { x - 4 }
Describe the behavior of the function near its vertical asymptote.


A) lim⁡x−4−f(x) =−∞,lim⁡x−4+f(x) =∞\lim _ { x - 4 ^ { - } } f ( x ) = - \infty , \quad \lim _ { x - 4 ^ { + } } f ( x ) = \infty
B) lim⁡x→4−f(x) =x,lim⁡x→4+f(x) =∞\lim _ { x \rightarrow 4 ^ { - } } f ( x ) = x , \quad \lim _ { x \rightarrow 4 ^ { + } } f ( x ) = \infty
C) lim⁡x→4−f(x) =−∞,lim⁡x→4+f(x) =∞\lim _ { x \rightarrow 4 ^ { - } } f ( x ) = - \infty , \lim _ { x \rightarrow 4 ^ { + } } f ( x ) = \infty
D) lim⁡x→4−f(x) =∞,lim⁡x→4+f(x) =−∞\lim _ { x \rightarrow 4 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 4 ^ { + } } f ( x ) = - \infty

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