We wish to show that lim 4x + 5 = 13
If we give an e, find the value of 8 to use.
Let € e to find 8
First set (4x + 5) - 13] <
Based on the absolute value, this means
<4x -8 <
2-
< 4x <
4
< x <2+
This means we set =
and
(write numbers first then e) and
So for any x such that |x-2| <
4 and
4 we know that |(4x + 5)- 13]