Question

Evaluate `lim _(xrarr 0) |x|/x` ?

Answer 1

Limit does not exist

Explanation:

graph{abs(x)/x [-10, 10, -5, 5]}

`lim _(xrarr 0^-) |x|/x = -1`

`lim _(xrarr 0^+) |x|/x = 1`

Because the one-sided limits differ, the limit does not exist