So I'm given a function and I have to know what the limit is without drawing a graph. I've learnt that if the denominator is 0 when you sub the number into x, then you have to factorise the function. and if you can't, then the limit does not exist. But then I came across this question: lim x->-2 [[x]].

[[x]] means the greatest integer function. so in this case x should equal -2? I'm not quite sure how to do this question, but the answer is 'limit does not exist'.