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

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) $\lim _ { x \rightarrow \infty } f ( x ) = 4 , \lim _ { x \rightarrow \infty } f ( x ) = 4$
C)


D) $\lim _ { x \rightarrow 1 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty$