Take it to the Limit!

f(x) = ((abs(x - 2))/x))

f(x) = ((x - 2)/(x^2 - 4))

1/2

f(x) = ((x^2)/(x-2))

1/4

f(x) = ((abs(x))/x)

DNE

f(x)={(x + 2 if x < 2) and ((x - 4)^2 if x > or = 2)}

0

1

4

f(x) = (x/(x+2))