Limit definition: Let f(x)be defined for all x in some open interval containing the number a, with the possible exception that f(x) need not be defined at a. We will write
[tex]\lim_{x \rightarrow a}f(x)=L[/tex]
if given any number epsilon > 0 we can find a number delta > 0 such that
f(x)  L < epsilon if 0 < x  a < delta.
If L plays the role of epsilon in the definition above, what plays the role of f(x)  L. I just do not get it yet. Thanks.
