Question

Find the limit, if it exists. If the limit does not exist explain why.

Find the limit of (1/x-1/|x|) as x approaches zero from the left side

Answer 1

Limit Does Not Exist

From left, it goes toward neg infinity
From right, it goes to zero

since they do not agree, limit does not exist

Answer 2

The limit of this thing when x approches zero from the left side would goes toward infinity, so we are not asking the actually limit for the question.

Answer 3

toward negative infinity, sorry.