Question

what is the epsilon delta limit definiton?

Answer 1

f(c) - L < epsilon

0 < |x-c| < delta

Answer 2

something like that

Answer 3

well depends what kind of limit

Answer 4

limit is THE limit; unless stated otherwise

Answer 5

If for every value of delta in the interval { 0 < |x-c|< d, you stay within {f(c)-L} epsilon of f(c) .... yada yada

Answer 6

He's asking what the formal/rigorous definition is for the limit. My calc book says:

Let f be a function defined on an open interval containing c (except possibly at c and let L be a real number. The statement
\[\lim_{x \rightarrow c}f(x) = L\] means that for each \[\epsilon > 0\] there exists a \[\delta > 0 \] such that \[0 < \left| x - c \right| < \delta\], then \[\left| f(x) - L \right| < \epsilon\]

Answer 7

limit of a function is not the same as a limit of a sequence, or at least I learnt it that way.