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

Question

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

Quizplus · Accepted Answer

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

Find the x-values (if any) at which f(x)=xx2−2x is not continuous. \text { Find the } x \text {-values (if any) at which } f ( x ) = \frac { x } { x ^ { 2 } - 2 x } \text { is not continuous. } Find the x-values (if any) at which f(x)=x2−2xx​ is not continuous.

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