$\text { Find the } x \text {-values (if any) at which } f ( x ) = \frac { | x - 3 | } { x - 3 } \text { is not continuous. }$

question 34

Multiple Choice

$\text { Find the } x \text {-values (if any) at which } f ( x ) = \frac { | x - 3 | } { x - 3 } \text { is not continuous. }$

• A) \(f ( x )\) is not continuous at \(x = 3\) and the discontinuity is nonremovable.
• B) \(f ( x )\) is not continuous at \(x = 0\) and the discontinuity is removable.
• C) \(f ( x )\) is continuous for all real \(x\).
• D) \(f ( x )\) is not continuous at \(x = 3\) and the discontinuity is removable.
• E) \(f ( x )\) is not continuous at \(x = 0 , - 3\) and \(x = 0\) is a removable discontinuity.

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