# What is the limit as #x# approaches 0 of #1/x#?

##### 1 Answer

The limit does not exist.

#### Explanation:

Conventionally, the limit does not exist, since the right and left limits disagree:

#lim_(x->0^+) 1/x = +oo#

#lim_(x->0^-) 1/x = -oo#

graph{1/x [-10, 10, -5, 5]}

**... and unconventionally?**

The description above is probably appropriate for normal uses where we add two objects

The Real projective line

If we consider

Considering