If for every number E>0, there exists a corresponding number D>0 such that for all x(adsbygoogle = window.adsbygoogle || []).push({});

|x-x0|<D >> |f(x)-L|<E

Then L is a limit

what is precisely mean of "corresponding number"?

and how can that "correspondance" assure me that the limit exists?

how can a number be corresponding to another number?

I know how can a number be equal/less than/greater than a number, but how can it be corresponding to another number?

I think I understand the definition now, except this "essential?" part

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# The meaning/definition of Limit

**Physics Forums | Science Articles, Homework Help, Discussion**