Originally Posted by

**chella182** Not holding out much hope for this since I can't explain all too well what my issue with it is, but here goes...

*Find the largest doman $\displaystyle D\subset R$ (R is the real numbers, can't find the symbol in Latex) such that the rule makes sense and computre the image of $\displaystyle D$ under this rule.*

*$\displaystyle x\mapsto e^{\tan{x}}$*

Now I know $\displaystyle x$ can't equal an odd number $\displaystyle \times\frac{\pi}{2}$, so $\displaystyle x$ (not equal to) $\displaystyle (2n-1)\frac{\pi}{2}, n\epsilon Z$ where $\displaystyle Z$ is the integers (can't find the "not equal to" symbol on the PDF, either).

So for my largest domain I have $\displaystyle \{x|x$ (not equal to) $\displaystyle (2n-1)\frac{\pi}{2}, n\epsilon Z\}$

I'm having trouble getting the set $\displaystyle D$ for which that rule makes sense...

This isn't for marked homework by the way. Well, the theory is, but this examples subtly different from the one I have to hand in to be marked.