SOLUTION: find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−2 2 − |x| ----------- ---

Algebra ->  Equations -> SOLUTION: find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−2 2 − |x| ----------- ---       Log On


   

Question 1048208: find the limit, if it exists. (If an answer does not exist, enter DNE.)

lim
x→−2 2 − |x|
---------------
2 + x
Found 3 solutions by advanced_Learner, ikleyn, robertb:
Answer by advanced_Learner(501) About Me  (Show Source):
Answer by ikleyn(52781) About Me  (Show Source):
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
lim%28x-%3E-2%2C+%282-abs%28x%29%29%2F%282%2Bx%29%29.
For a very small neighborhood around -2, the values of x are negative, and so abs%28x%29+=+-x.
===> .