Answer
$-4$
Work Step by Step
To solve this, let us plug in numbers on both sides.
Plugging in $1/100$ gives,
$$\frac{.98-1.02}{0.01} =-4 $$
Plugging in $-1/100$ gives,
$$\frac{.98-1.02}{0.01} =-4 $$
Plugging in $1/1000$ gives,
$$\frac{.998-1.002}{0.001} =-4 $$
It is clear the limit is $-4$