00:01
Consider this graph of f of x below.
00:02
For the first part, we want to find the limit, x approaches 5 from the right of f of x minus 1 over f of x plus 4.
00:11
Now this is equal to using limit loss, limit as x approaches 5 from the right of f of x minus 1, all over the limit as x approaches 5 from the right of f of x plus 4.
00:28
Now, if we set u equal to x plus 4, then as our x approaches 5 from the right, our u will approach 5 plus 4 or 9 from the right, then this will be equal to limit of f of x as x approaches 5 from the right that goes to 2.
00:55
So 2 minus 1 over, we have the limit as f of u approaches, as you approaches 9 from the right.
01:07
That'll be, for this graph, it's equal to 3.
01:11
So we have over 3.
01:12
So 2 minus 1 over 3, we get 1 over 3 as the limit.
01:19
For part b, we want to find the limit as x approaches 3 from the left.
01:27
Of f of f of x plus one...