# Help with proving continuity

1. May 11, 2010

### gonzo55

1. The problem statement, all variables and given/known data

using the epsilon delta definition of continuity prove that if f is continuous at c with F(c)/=0 then 1/f(x) is also continuous at c.

2. Relevant equations

i dont know how to begin using the definition. Im just really struggling with this. Just need a place to start.

3. The attempt at a solution

do you use the definition like 1/fx -1/fc <e when x-c< delta?

2. May 11, 2010

### lanedance

so what is the epsilon delta defintion of continuity?