Question

whats the limits as x approaches 0 fro the negative side of the function x-2 |x|over |x|?

Answer 1

\[\lim_{x\rightarrow ^-0}{|x|(x-2)\over |x|}\]
This?

Answer 2

yeah sleek-feathered one that

Answer 3

i dont knwo how to work the equation tab good

Answer 4

Well, if x is something very close to 0 (but negative) what will happen with that expression?

Answer 5

its comming from the negative side

Answer 6

Right. That means that it is very very small (close to 0) and it is also negative.

Answer 7

i could take the negative sign on the absolute value

Answer 8

is this problem written correctly? if so, the abs values can cancel

Answer 9

so the answer is -2

Answer 10

they cancel out , r us sure

Answer 11

That's correct. The absolute values will cancel for any value of x that is not 0

Answer 12

(Which includes values of x that are close to 0)

Answer 13

So the answer is -2

Answer 14

remember, anything over itself just equals 1

Answer 15

except 0.

Answer 16

no need to even evaluate the limit inside the abs value

Answer 17

x/x = 1 though

Answer 18

as long as x is not 0 ;p

Answer 19

|x|/|x| =1

Answer 20

that was a stupid trick question cooked up in a calc textbook

Answer 21

your taking the liimit from positve zero though mathgirl...

Answer 22

That doesn't matter because it's the limit as it approaches 0, not the value at 0

Answer 23

you're taking the limit of a function, and the function can be simplified first, can it not?

Answer 24

\[{x \over x} = 1, \forall x \ne 0\]

Answer 25

depends what rule is needed

Answer 26

i guess, yes, your right

Answer 27

its a big z on the graphing calculator.lol

Answer 28

it approches -1 from the right and -3 from the left.

Answer 29

That's not right unless we have the expression wrong above. It would have the same limit from either side (-2).

Answer 30

Yeah, it does have the same limit both ways, but Calc textbooks are goofy like that so who knows.

Answer 31

is it what polpak had or is it
\[\frac{x-2|x|}{|x|}\]

Answer 32

Ah.. yeah that would be different.

Answer 33

totally

Answer 34

hey polpak you are green!

Answer 35

I know!

Answer 36

lol can i be pink?

Answer 37

hey mitlearner so the expression polpak wrote is exactly what you see in the text right?>

Answer 38

I guess we'll never know ;p

Answer 39

Are you deleting your posts?

Answer 40

hey polpak, how come you are green?

Answer 41

hes a moderator

Answer 42

I moderate like a boss.

Answer 43

can i be a moderator too?

Answer 44

he won't allow me to be pink im upset

Answer 45

I would, but I have no control over such things

Answer 46

lol im kidding

Answer 47

i hve never seen this green before

Answer 48

i want to be orange

Answer 49

hey satellite, amistre is also green