Final answer:
No, there is not an absolute max at a hole in a mathematical function. At a hole, there is no maximum or minimum because the function does not exist at that point.
Step-by-step explanation:
No, there is not an absolute max at a hole in a mathematical function. A hole in a function occurs when there is a removable discontinuity, which means that the function is undefined at that point but can be filled in to create a continuous function. At a hole, there is no maximum or minimum because the function does not exist at that point. Instead, the maximum or minimum can occur at the points surrounding the hole.