# Math Help - Real analysis - a function with no limit at 1/2

1. ## Real analysis - a function with no limit at 1/2

I need an example of a function with a limit at every point in (0,1) except 1/2 and use the definition of a limit to show this

I'm pretty sure I can use f(x)=2x when x < 1/2 and f(x)=x^2 when x > 1/2

Not quite sure how to put this into the definition

2. $f(x)= \frac{2}{2x-1}$

3. thanks for the help, that equation works alot easier with the def

4. Originally Posted by pntbll687
that equation works alot easier with the def
Moto: Keep it simple.