Question

lim x-->4^- |x|/x and lim x-->0^- |x|/x

Answer 1

what does the ^ mean?

Answer 2

oh never mind i got it. limit from the right and left

Answer 3

first one is
\[\frac{4}{4}=1\]

Answer 4

second one is
\[\frac{-x}{x}=-1\]

Answer 5

because you are taking the limit as x goes to zero from below, which means that x is negative, which makes |x| = -x