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 vertical asymptotes.

A) $\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow \theta ^ { + } } f ( x ) = - \infty , \lim _ { x \rightarrow 2 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = - \infty$
B) $\operatorname { lim~ } _ { x \rightarrow \theta ^ { - } } f ( x ) = 0 , \lim _ { x \rightarrow \theta ^ { + } } f ( x ) = - \infty , \lim _ { x \rightarrow 2 ^ { - } } f ( x ) = - \infty , \quad \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = \infty$
C) $\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow \theta ^ { + } } f ( x ) = - \infty , \lim _ { x \rightarrow 2 ^ { - } } f ( x ) = - \infty , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = \infty$
D) $\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = - \infty , \lim _ { x \rightarrow \theta ^ { + } } f ( x ) = \infty , \lim _ { x \rightarrow \mathbb { Z } ^ { - } } f ( x ) = - \infty , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = \infty$