00:01
Choose the best reason that the function f of x equal x squared minus 121 over x plus 11 is discontinuous at a equals negative 11.
00:14
A, the limit when x goes to a of f different from f at a.
00:21
B, the limit when x goes to a of f does not exist.
00:26
And c, the function is not defined at a.
00:30
Okay, so we see clearly that this function is not defined at negative 11, because if we put the value negative 11, we have a zero in the denominator of the fraction.
00:46
So the function is not defined at a, and that's the first thing that got to happen for a function to be continuous on a point.
00:54
The point got to be in the domain of the function.
00:57
So because this point is not in the domain of the function, the point a equal negative 11, we can say that that's the best reason to say that the function is discontinuous at a equal 11...