00:01
Hello, we're looking at the graph here for part a.
00:03
What is the limit as x approaches three from the left? well, as x gets really, really close to three from the left, the graph of the function is going to get closer and closer to 2, which is equal to 2.
00:21
So therefore, the limit as x approaches 3 from the left of our function, f of x is equal to 2.
00:28
Now, for b, we have the limit as x approaches 3 of x.
00:37
Well, again, we look at the graph, and as x that's really, really close to 3 going in from the right, the curve is going to be close and closer and closer to the output of 5.
00:47
So, then for the limit there is equal to 5.
00:50
And then for c, we just look at the limit as x approaches 3.
00:55
Well, the limit as x approaches 3, we have to have the left -hand.
01:01
And right -hand limits to be equal.
01:03
Well, in this case, the left -hand limit is equal to, the right -hand limit is equal to five, so therefore the limit as x approaches three actually does not exist, the left -hand and right -hand limits are not equal to each other...