check my work pls
lim x= 4 from the left abs(x-4)/x-4

Question

check my work pls 
lim x=> 4 from the left  abs(x-4)/x-4

anonymous · Answer

is the answer just 1?

anonymous · Answer

No, I don't think so. The function is not continuous from the left side

anonymous · Answer

how would you solve it then?

freckles · Answer

Consider the left and right limit; are they the same.  Hint abs( x-4) =x-4 if x-4 >0 and abs( x-4) =-(x-4) if x-4<0

freckles · Answer

Oh I didn't see the left lol 
Though you were looking for actual 
Just consider the what happens to the left that is you are looking at x<4

freckles · Answer

Use what I said before about the and value part

freckles · Answer

Abs*

anonymous · Answer

abs(x-4)=x-4 if x-4>0?

freckles · Answer

We don't want to use that 
That is for values to the right of 4. We are looking to the left so days your question. 
We want to use the abs(x - 4)=-(x-4) since x<4

anonymous · Answer

what I did was as x<4, abs(x-4) = x-4 therefore lim =>4- abs(x-4)/x-4 so lim x=> 4- x-4/x-4 = 1

freckles · Answer

You are actually finding the right limit because you used abs(x-4)=x-4 for when x>4

anonymous · Answer

oh i see

anonymous · Answer

so it would be -1?

freckles · Answer

Again abs(x-4)=-(x-4) since x<4 and yes - (x-4)/(x-4)=1 when x goes to four from legy

freckles · Answer

-1

freckles · Answer

Sorry on phone hard to typet

anonymous · Answer

hehe thanks

freckles · Answer

Lol but I think you get this now just remember to consider the abs value function as a piece wise  function

anonymous · Answer

can you give me another examples pls?

anonymous · Answer

*example

freckles · Answer

Abs(f(x)) =f(x) if f(x) >0 and abs(f(x)) =-f(x) if f(x) <0

anonymous · Answer

so in other words you are saying that the answer would be = +-1
if they were asking for lim x=>4 ?

freckles · Answer

Right=1
Left=-1
Actusl doesn't exist because left doesn't equal right

anonymous · Answer

hmm

freckles · Answer

For right you would have (x-4)/(x-4)=1 and left we had - (x-4)/(x-4)=-1

anonymous · Answer

yep i think i got it now

freckles · Answer

If I was on my desktop I would give you another example but this phone doesn't make answering or replying to questions easy

anonymous · Answer

you can send me another example when you get to your desktop! :D thanks for your help

freckles · Answer

No problem