Question

lim x→−3 6x + 18/|x + 3|

Answer 1

i got 6 but i think its wrong

Answer 2

the top factors to cancel the bootom

Answer 3

6 is right

Answer 4

but what about the absolute
value signs

Answer 5

6(x+3)
------ hmm, i think they are the same as a + value here
|x+3|

Answer 6

i thought i had to do -x-3, and x+3

Answer 7

http://www.wolframalpha.com/input/?i=lim {x+to+-3}%28%286x%2B18%29%2F%28|x%2B3|%29%29

Answer 8

http://www.wolframalpha.com/input/?i=lim {x+to+-3}%28%286x%2B18%29%2F%28|x%2B3|%29%29

Answer 9

it cuts the link short...

Answer 10

i see it tho... the limit doesnt exist it says

Answer 11

since the limit is not the same form left and right; no limit exists

Answer 12

okay thanks

Answer 13

those absolutes getcha i fyou dont watch for em

Answer 14

yeah im doing like 40 problems of nothing put absolutes

Answer 15

lol.. good for the practice :)

Answer 16

haha yeah i guess

Answer 17

if you factor it to get the same looking stuff; it tends to wanna break apart at the '0' limit if thats what they are going for

Answer 18

lim x->-7 (7 - (abs of (x))/(7 + x) is this DNE

Answer 19

7 - |x|
------ right?
7+x

Answer 20

yeah

Answer 21

lets see what this does a little bit to the left and right of -7 then

Answer 22

-6.9; what doe we get?

Answer 23

1

Answer 24

ok.. and at 7.1?

Answer 25

-7.1 that is

Answer 26

1

Answer 27

so its 1

Answer 28

thats a good sign; try with smaller numbers to be sure;

-6.9999

and -7.0001

Answer 29

the answer is 1 :)

Answer 30

okay that seems much easier than doing it the way my professor said

Answer 31

if the limit on the left and right are the same; then you have the limit; if they differ, no limit ewxists