Final answer:
To determine whether f(x) approaches infinity or negative infinity as x approaches 2, we need to analyze the behavior of the function as x gets arbitrarily close to 2.
Step-by-step explanation:
The limit of a function as x approaches a certain value can be determined by analyzing the behavior of the function as x gets arbitrarily close to that value. In this case, we want to determine whether f(x) approaches infinity or negative infinity as x approaches 2.
To find this, we can analyze the behavior of the function f(x). It is important to know the exact definition of f(x), as it is not provided in the question. Once we know the behavior of f(x) as x approaches 2, we can determine whether it approaches infinity or negative infinity.
Without the definition of f(x), it is not possible to provide a specific answer to this question. However, in general, we can analyze the behavior of a function as x approaches a certain value by looking at the limit at that point, the behavior of the function as x gets arbitrarily close from both sides, and any vertical asymptotes or holes in the graph.