Question

If lim f(x)x-->0= 7, then f(x) must be continuous at I = 2.
A True
B False

Answer 1

The statement is false because knowing the limit of f(x) as x approaches 0 does not provide information about f(x)'s continuity at another point, such as x = 2.

Step-by-step explanation:

The statement 'if lim f(x) as x approaches 0 equals 7, then f(x) must be continuous at I = 2' is False. The limit of a function as x approaches a certain value provides information about the function's behavior near that particular point. In this case, we know about the function's behavior as x approaches 0. However, this information does not tell us anything about the continuity of the function at any other point, such as when x = 2. To determine the continuity of f(x) at x = 2, we would need to know the behavior of f(x) specifically around x = 2.