1. Visualization and interpretation of the limit

2. The values of f stabilize around L
The values of x decrease without bound
In the next slide we present the visual representation of this limit

3. f (x) L x x x
from the right as

4. Other possible functions arex x
f (x)
from the left

5. f (x) L
f (x)
form right and left

6. This limit indicates that the line y = L is a horizontal asymptote in the negative direction
It is not true that when a function has a horizontal asymptotes its graph does not touch the horizontal asymptote for large values of x, they may or may not.

7. If d is the deficit accumulated over time and A is the acquisition power, then A(d) and the interpretation of the limit is
The acquisition power is almost null
in absolute terms debt is increasing without bound
When debt is uncontrollable accumulated, the acquisition power is lost.