Use Limits to Describe the Behavior of the Rational Function $$f ( x ) = \frac { 4 x ^ { 2 } - 3 } { x ^ { 2 } + 1 }$$

question 175

Multiple Choice

Use limits to describe the behavior of the rational function near the indicated asymptote.
- $$f ( x ) = \frac { 4 x ^ { 2 } - 3 } { x ^ { 2 } + 1 }$$
Describe the behavior of the function near its horizontal asymptote (the end behavior) .

• A) \(\lim _ { x \rightarrow \infty } f ( x ) = 0 , \lim _ { x \rightarrow \infty } f ( x ) = 0\)
• B) \(\lim _ { x \rightarrow \infty } f ( x ) = 4 , \lim _ { x \rightarrow \infty } f ( x ) = 4\)
• D) \(\lim _ { x \rightarrow 1 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty\)

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