Question

How do you find the limit of `absx/x` as `x->2^-`?

Answer 1

1

Explanation:

as x tends to 2 from either side,

`abs(x)/x` tends to `x/x`, or `2/2`

which is

`1`

the absolute value makes no difference as 2 is positive and even if you approach from the bottom the x value must be positive when approaching positive 2.