Barrons AP Calculus

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: