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

Multiple Choice

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

A) $\lim _ { x \rightarrow \infty } f ( x ) = - \infty , \quad \lim _ { x \rightarrow } f ( x ) = \infty$
B) $\lim _ { x \rightarrow \infty } f ( x ) = - 1 , \lim _ { x \rightarrow \infty } f ( x ) = 1$
C) $\lim _ { x \rightarrow \infty } f ( x ) = 0 , \lim _ { x \rightarrow \infty } f ( x ) = 0$
D) $\lim _ { x - \theta ^ { - } } f ( x ) = \infty , \quad \lim _ { x - \theta ^ { + } } f ( x ) = \infty$