Final answer:
A function f(x) has a limit at x = a if the value of f(x) approaches a specific value as x gets arbitrarily close to a. In this case, the function f(x) is a horizontal line within the range 0 ≤ x ≤ 20, and since the value of f(x) remains constant throughout this range, it can be said that f(x) has a limit at x = a as x approaches a.
Step-by-step explanation:
A function f(x) has a limit at x = a if the value of f(x) approaches a specific value as x gets arbitrarily close to a. In this case, the function f(x) is a horizontal line within the range 0 ≤ x ≤ 20. Since the value of f(x) remains constant throughout this range, it can be said that f(x) has a limit at x = a as x approaches a. The limit of f(x) is equal to the constant value of the function itself.
The graph of f(x) is a horizontal line that does not change with x. As x approaches any value within the range 0 to 20, the value of f(x) remains the same.