Hello, I need some help with this

I need to find the limit of lim x->-2 2-|x| / 2+x

I need to evaluate the left and right handed limit. For the righthanded limit I plug in

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

now my problem is is to get something that can cancel out, so that I got the limit.

The lefthanded limit I did as following:

lim -2- 2-(-x)/2+x = lim -2- 2+x/2+x = 1

Thanks for any hint.