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

question 72

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 \(x\).

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