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