Visual Calculus - Horizontal Asymptotes

Problem:
Numerically, evaluate the limits

and

Visualization:
Using Javascript:

x	f(x)

It appears that the limit is -0.2 and that y = -0.2 is a horizontal asymptote of the function.

x	f(x)

It appears that the limit is 0 and that the line y = 0 is a horizontal asymptote of the function f(x) = e^x.