lim x--2 2-|x|/(2+x)

Question

lim x->-2 2-|x|/(2+x)

anonymous · Answer

well i think no matter what 

-|x|    will be +x cuz of the substituion of  -2

so it (2+x)/(2+x)=1

and since limit doesn't care when x=-2  only the behaviour it is 

1

anonymous · Answer

Great! Thanks for your explanation, I appreciate it. :)

anonymous · Answer

or could be wrong cuzz graphically it looks like -1

anonymous · Answer

the answer i got was 1 and its correct, I just don't know the explanation for why its true. Yours looked right, but now Im not sure about it.

anonymous · Answer

It was a copy paste error
Let me try a second explanation
2-|x|/(2+x)

OK so above 

2-|x|       x will always be negative  in numerator cuzz of the absolute value and it being multiplied by a -   

2+x         we know that  the x will get a negative in denominator  so we can assume
2+x=2-x       cuzz we assume x will and does recieve a - 
(2-x)/(2-x)=1

anonymous · Answer

great. got it now. thx