Consider this very simple example of limits limitx->2 (x2-4)/x-2 value of function at x=2 is not defined. but rearranging function like this limitx->2 x+2 gives us it's limit at x=2. My question is how rearranging a function gives limit of that function at the specified point.. I have studied limits fully (as much as it is in my course book) don't go to question heading. thanks for answering.