Hi,

I have a piece-wise function similar to this:

f(x) = (-ln x)/3 (x>0)

-2/x (x<0)

The limit of this is infinity, it exists as the one sided limits exist for f(x) and both equal infinity (although can it be argued that lim x->0 -2/x DNE?).

So how does one classify this discontinuity, is it a removable or essential discontinuity? Why?

Any help is appreciated.

Cheers