`Figure N2–5`

NOTE: Using +∞ or −∞ to indicate a limit is describing the behavior of the

function and not actually a limit. Remember that none of the limits in Examples

4 and 5 exists!

###### Definition

We write

if the difference between f (x) and L can be made arbitrarily small by making x

sufficiently large positively (or negatively).

In Examples 4 and 5, note that .

###### Example 6 **__**

**__**From the graph of (Figure N2–6), describe the behavior of h

using limits.

SOLUTION: