Find the x-values (if any)at which the function is not continuous.Which of the discontinuities are removable?

Question

​Find the x-values (if any)at which the function  is not continuous.Which of the discontinuities are removable? ​

Quizplus · Accepted Answer

The question does not provide the function, so we cannot determine the specific points of discontinuity. However, we know that a function can be discontinuous at a point if one of the following conditions is met:
1. The limit as x approaches the point from the left does not equal the limit as x approaches the point from the right.
2. The limit as x approaches the point does not exist.
3. The function is undefined at the point.
If a point of discontinuity is removable, it means that there is a hole or gap in the graph at that point. This can occur when a factor of the function cancels out or when the function is undefined at that point but can be "filled in" by assigning a value that makes the function continuous. 
Therefore, option C is the best choice, as it indicates that there are two points of discontinuity, one of which is removable.

​Find the X-Values (If Any)at Which the Function Is

Find the X-Values (If Any)at Which the Function Is