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

Dec 4, 2016

Vertical: x = 0 ( y-axis $\uparrow$).
Horizontal: $\leftarrow y = 1 \rightarrow$.

Explanation:

As $x \to {0}_{+} , y \to \infty$; 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]}