Math question, please help?

Question

Lim x-> -5 of abs( x+5)/(x+5)

note that abs means absolute power. thanks alot for your help-
ALSO it has a little dash to the right top of 5 on the problem that i couldnt type in, i think its asking for the answer from the LEFT of five.

btw, the answer isnt 1

i got the answer to be -1 but can someone tell me why the answer is -1?

... i meant absolute value, and there is a little dash to the right of -5, which means from the left, and that makes the answer -1, thanks "Jason E" and every1 else.

Answer 1

well pay attention to me please;
|x| =
+x for x>0
-x for x<0
so;
| ( x+5) / (x+5)| =
+ (x+5 / x+5)
&
- (x+5 / x+5)
{ here i must remind you when you want to find lim abs , you should find 2 lim , Right lim & Left lim }

Part One;
lim |( x+5) / (x+5)| =
x-> -5 +
Right lim ;
lim |( x+5) / (x+5)| = + ((x+5) / (x+5))
x-> -5 +
{ simplify x+5 }
lim |( x+5) / (x+5)| = + 1/1 = +1 This is Right lim

Part Two;
lim |( x+5) / (x+5)| = - ((x+5) / (x+5)) = -(1/1) = -1 This is Left lim
x-> -5 -

so dear you see the answer is +1 in right lim & -1 in left lim
This is Your Corrct Answer;
Good Luck

Answer 2

I loved this one!
Your equation is typed, so it is hard to show. The equation reads what is the limit of x as x approaches -5 if the absolute value (not power) of x+5 is divided by x+5 ?

But it should look like this
Lim..................................abs (x+5)
x----------> -5 = --------
(arrow) (x+5)

if so the equation is simplified by changing all x's to -5
abs (-5+5)
---------
(-5+5)
further since -5+5=0 we have
0
----
0
but remember that 0/0 is not 1!!!!!!!!!!!!
So the answer is 0/0 or indeterminate
What's great is that if you change x to any other number the answer is 1, but not when lim x-> -5!!!!!!!!
This brought back college memories of calculus. Thanks.

Answer 3

I'm not entirely sure what you're asking....????..... but I do know that based on the second part, |(x+5)/(x+5)| will always equal one, regardless of what x is. (note I used | for abs) if you try to explain better things like what is meant by Lim or why you wrote x- for one and -5 for the other, or why would it be written in terms of -x or rather x-....???, I may be of a little more help. Just go in and edit your question to make it more clear

Answer 4

lim |x+5|/(x+5)
x->-5-

It is important to see here that for x<-5, f(x) = -1
and x>-5, f(x) = 1

We get this because |a| = -a, for all a<0
and |a| = a, for all a>=0

Therefore, since lim x->-5 from the left fall in the domain x<-5, we evaluate the function f(x) = -1 at -5, which of course is -1

Answer 5

-1 if you are sure about the "FROM THE LEFT" part