00:01
So in this problem, we're given this function a as this graph right here.
00:15
And we're asked to state the following.
00:18
So first of all, we're asked to state the limit as x goes to minus 3 of a of x.
00:29
And we can see in this graph that minus 3 over here is actually an asymptote.
00:37
And both the limit as x goes to minus 3 from the left side of a of x this goes to infinity and the limit as x goes to minus 3 from the right side of a of x is also going to infinity and so therefore the limit as x goes to minus 3 of a of x is also going to infinity and so therefore the limit as x goes to minus 3 of a of x is infinity.
01:18
So that first one is infinity.
01:22
Now, the next one, the limit as x goes to minus, goes to two from the left side of a of x.
01:37
Well, let's look at our graph here for a minute.
01:41
Here's two, and two is also an asymptote here.
01:47
As i go in towards 2 from the left side, this goes all the way down and keeps continuing on down to minus infinity.
02:00
Okay, part c.
02:04
The limit as x goes to 2 from the right -hand side of a of x.
02:13
Well, let's look at our graph...