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..
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Consider the function $\displaystyle f(x)=\dfrac{x^2-4}{x-2}, \text{ if }x\not= 2~\&~=0\text{ if }x=2$. That function has a limit at $\displaystyle x=2$ but is not continuous there.
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