Question

Why isn't the answer 3 or -3?

Answer 1

l 3(0+h) l - l 3(0) l / h = l 3h l / h
is what i have...

Answer 2

The answer is -3 because (-2)^3=-8 (-2 x-2 x-2)=-8

Answer 3

and of course 24/-8=-3

Answer 4

its NOT -3 ...like i said

Answer 5

I was looking at the other document lol with the problem:\[(-m)^{-3}n\] if m=2 ,n=24

Answer 6

\[\lim_{h \rightarrow 0+} \frac{3\left| h \right|}{h}=\lim_{h \rightarrow 0+} \frac{3h}{h}=3\]
\[\lim_{h \rightarrow 0-} \frac{3\left| h \right|}{h}=\lim_{h \rightarrow 0-}\frac{3(-h)}{h}=-3\]

Answer 7

The limit doesn't exist at 0

Answer 8

the acceptable answer on my hw site is DNE (Does Not Exist)

Answer 9

thanks for helping

Answer 10

yw

Answer 11

you see why though?

Answer 12

there are 2 answers that are both positive and negative coming from opposite directions???

Answer 13

it comes from the definition of absolute value

Answer 14

if x>0, |x|=x
if x<0, |x|=-x

Answer 15

That's what i showed up above with the left and right limits

Answer 16

so any time i have an absolute value the limit will not exist?

Answer 17

don't assume that...it would exist if the function were continuous at the x-value of the limit you were looking for. If h->1, the limit would exist

Answer 18

ok ok