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Mathematics 21 Online
OpenStudy (anonymous):

whats delta?

OpenStudy (ryan123345):

The change

OpenStudy (anonymous):

\[\delta and \delta \]

OpenStudy (ryan123345):

Its a symbol that simply represents change. it is drawn as a triangle,

OpenStudy (anonymous):

mmm the change.. does not explain much

OpenStudy (ryan123345):

thats exacly what it is... Delta = Change.

OpenStudy (ryan123345):

\[\Delta = Change\]

OpenStudy (ryan123345):

Change of any variable quantity, in mathematics and the sciences

OpenStudy (anonymous):

its from limit , caluclus

OpenStudy (anonymous):

what's the original statement or question?

OpenStudy (anonymous):

its not any question, but i was studying caluclus limit and i came across delta and S

OpenStudy (anonymous):

what i want is precise definition of a limit

OpenStudy (anonymous):

Let ƒ be a function defined on an open interval containing c (except possibly at c) and let L be a real number. Then the statement \[\lim_{x \rightarrow c} f(x)=L\] means for all real ε > 0 there exists a real δ > 0 such that for all x with 0 < |x − c | < δ, we have |ƒ(x) − L| < ε Source: http://en.wikipedia.org/wiki/(%CE%B5,_%CE%B4)-definition_of_limit

OpenStudy (anonymous):

is this what you were referring to?

OpenStudy (anonymous):

simply they are used as domain and range?

OpenStudy (anonymous):

yup! further explanations on them can be found on the wiki page as well. they are just the tiniest difference, because limit is not the equality, but the "approachness", of a function, between the limit and the function.

OpenStudy (anonymous):

I see thank you!

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