# limits and continuity

• November 3rd 2010, 11:41 AM
alexandrabel90
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..
• November 3rd 2010, 12:58 PM
Plato
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.