# Math Help - limits and continuity

1. ## limits and continuity

what is the difference btw limits and say continuity at a point c. they seem to be very closely linked but i cant really tell what they are similar and different in..

2. Consider the function $f(x)=\dfrac{x^2-4}{x-2}, \text{ if }x\not= 2~\&~=0\text{ if }x=2$.

That function has a limit at $x=2$ but is not continuous there.