Question

How do you find the vertical, horizontal and slant asymptotes of: `f(x) = e^(1/x)`?

Answer 1

Vertical: x = 0 ( y-axis `uarr`).
Horizontal: `larr y = 1 rarr`.

Explanation:

As `x to 0_+ , y to oo`; and as `x to 0_-, y to 0`.

As # x to +-oo, y to 1

graph{x ln y -1=0 [-40, 40, -20, 20]}