1. Visualization and interpretation of the limit

2. The values of x approaches a from the left
The values of x approaches a from the left. The values of x increase to a
The values of f decrease without bound. In absolute terms the values of f increase without bound.
We present in the next slide the graph of a function with this limit.

3. f (x) decreases without bound as

4. This limit indicates that the line x = a is a vertical asymptote in the negative direction

5. An interpretation of this limit
If e is the number of unemployment insurance claims and F is the amount of the unemployment insurance fund, then the limit
is interpreted as

6. The insurance fund decreases into debt
The insurance fund decreases into debt. In absolute terms the debt increases without bound.
The number of insurance claims is increasing to a
When the number of claims increases and reached a, the insurance fund falls into debt becomes insolvent.