So I was reviewing a bit for a class on complex variables I have to take next quarter - and one of the requirements is the class on limits infinite series. I took that class quite a while ago and there was no book (notes-only type thing) so as I was going through sample exercises, this got me a bit stumped. As I''m a regular visitor to this forum, I thought to ask. Since it isn''t *technically* homework for a class, I suppose that it''s not against forum rules. Basically the problem is pretty simple - to provide a epsilon-delta proof of: Lim (1/x) = 1/x0 for all x0 != 0 x->x0 When I go to do my epsilon-delta proof, I arrive at: |x - x0|/|x x0| ... which is all well and good, I have my |x-x0| on the top there, so I am almost ready to get my relation between epsilon and delta. However, I can''t figure out how to get rid of the |x| in the denominator. If x0 >= 1, this is easy, but... what if x0 < 1? Is there any way to do this cleanly without breaking the whole thing into two parts (being x0 >=1 and x0 < 1)? Thanks alot.

Nevermind, I''ve found out... a couple hours later