Find the limit as x c approaches -2 from the left.
Should I use l'hopital's rule?

***Posting problem!

Question

Find the limit as x c approaches -2 from the left.
Should I use l'hopital's rule? 

***Posting problem!

math2400 · Answer

attachment

math2400 · Answer

*as c not x. typo!

yrelhan4 · Answer

l hospital isnt really necessary here. 
i am not really able to understand what c is?

yrelhan4 · Answer

x--> -2 is that right?

math2400 · Answer

yes

yrelhan4 · Answer

ok so.. as it approaches from the left hand side of -2.. so the mod will result in a negative value.. so you can cancel |x+2|/(x+2) to give -1..

yrelhan4 · Answer

now you have -(x+3).. put in -2 here.. -(-2+3) = -1..

yrelhan4 · Answer

yeah?

math2400 · Answer

so the absolute value does not make a diff? like i can just cancel it? i was thinking i had to do something with that absolute value...but that's it then?

yrelhan4 · Answer

as i said.. it would result in a negative value.. so you will open it as -(x+2).. so cancelling the numerator and the denominator will give you -1..

math2400 · Answer

ohhh got u! so if we were approaching it from the right u'd get a pos value which would be 1 then

yrelhan4 · Answer

absolutely.. :)

math2400 · Answer

sounds good! im always tryin to make my problems harder than they are ahah thank yoU!