[snip]This means that the limit does not exist right?

Where as if I didn't specify whether x approaches 0 from the left or the right I would

**not** say the limit does not exist and instead look at the limit from the left and right side right?

Uhh just to clarify my question uhh... I'm trying to ask under what circumstances does the limit not exist, is it only if the left and right do not equal each other or if the limit of the left side (or right) end up equalling a number/0

thanks

And sorry for long post

Next time it will be shorter (hopefully)