# What is the limit of #sqrt(4-x^2)# as #x# approaches #2#?

##### 1 Answer

It is

Therefore,

(Edit: my error is in this step. We cannot use one sided continuity to evaluate a two sided limit.)

The graph of

graph{sqrt(4-x^2) [-10, 10, -5, 5]}

I stand corrected. The limit does not exist. (I overlooked the domain issue.)