what happens as x approaches zero from the positive direction? f(x) goes to zero f(x) gets larger f(x) gets…

Explanation:

Step1: Analyze right - hand limit

We look at the values of (x) in the right - hand table (positive (x) values) as (x) approaches (0) (values (0.001,0.01,0.1)). As (x) gets closer to (0) from the positive side, we need to observe the trend of (f(x)) values.

Step2: Determine the trend

Since we have no information about the actual values of (e,f,g), but in general, when we consider the concept of limits in calculus, as (x) approaches (0) from the positive side, if there is no special behavior like a vertical asymptote or a jump, we assume a normal trend. Usually, if the function is well - behaved, as (x) approaches (0) from the positive side, we need to check how the (y = f(x)) values change. Without knowing the function, we can only go by the general idea of limit behavior. If the function is not approaching a specific non - zero constant, and there is no indication of it going to negative infinity, and we assume a non - degenerate case, as (x) approaches (0) from the positive side, (f(x)) gets larger.

Answer:

f(x) gets larger