Question

For which values of x = a does the limit x → a f(x) exist, but f is not continuous at x = a?

Answer 1

The function f(x) is a horizontal line between x=0 and x=20, so there are no points of discontinuity and the limit x->a f(x) exists for all values of x=a.

Step-by-step explanation:

The question asks about values of x for which the limit x → a f(x) exists, but f is not continuous at x = a. To find such values, we need to look for points of discontinuity in the function f(x). In this case, we are given that the graph of f(x) is a horizontal line between x = 0 and x = 20. Since the graph is a line with no breaks or jumps, there are no points of discontinuity. Therefore, for all values of x = a, the limit x → a f(x) exists and f is continuous at x = a.