Trouble with Limits and Tan

May 2010
6
0
Fort Collins, CO
lim e^tanx as x approaches (pie/2) from the right
 

Prove It

MHF Helper
Aug 2008
12,883
4,999
lim e^tanx as x approaches (pie/2) from the right
\(\displaystyle \tan{x} \to -\infty\) as \(\displaystyle x \to \frac{\pi}{2}\) from the right.


So \(\displaystyle e^{\tan{x}} \to e^{-\infty} = 0\) as \(\displaystyle x \to \frac{\pi}{2}\) from the right.
 
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