$\text { Find the } x \text {-values (if any) at which } f ( x ) = \frac { x } { x ^ { 2 } - 2 x } \text { is not continuous. }$

Multiple Choice

$\text { Find the } x \text {-values (if any) at which } f ( x ) = \frac { x } { x ^ { 2 } - 2 x } \text { is not continuous. }$

A) $f ( x )$ is not continuous at $x = 0$ and $f ( x )$ has a removable discontinuity at $x = 0$ .
B) $f ( x )$ is not continuous at $x = 0,2$ and both the discontinuities are nonremovable.
C) $f ( x )$ is not continuous at $x = 2$ and $f ( x )$ has a removable discontinuity at $x = 2$ .
D) $f ( x )$ is not continuous at $x = 0,2$ and $f ( x )$ has a removable discontinuity at $x = 0$ .
E) $f ( x )$ is continuous for all real $x$ .