Final answer:
The student is asking about the limit of a function as x approaches 0. Without specifying the limits, we cannot determine the analytical limit. However, the student indicates that f(x) is discontinuous at 0, which means that the limit does not exist.
Step-by-step explanation:
In this question, the student is asking about the continuity of a function and the concept of limits. If a function has a limit at a particular value, it means that the function approaches a certain value as the input approaches that value. If the limit does not exist, it means that the function does not approach a single value as the input approaches the given value. In this case, the student is asking about the limit as x approaches 0 for the function f(x). Since the limits are not specified, we cannot determine the limit analytically without further information. However, the student mentions that f(x) is discontinuous at 0, which means that the limit of f(x) as x approaches 0 does not exist.