I have a couple of questions regarding continuity. One is just a general question and the second is a textbook question.

1) Can anyone give me a quick explanation in regards to the concept of continuity? We transitioned from limits (which I picked up really well) into continuity and I'm having a tough time distinguishing between the two.

2) The directions state: Find all values of x = a where the function is continuous. For each value of x, give the limit of the function as x approaches a.

The Problem is: f(x) = 5 + x/x(x-2)

I'm ending up with 5 + x/-2, but I'm completely lost as to the next step in the problem.

Any help would be greatly appreciated. Thanks!