Pure vs. Applied Mathematics. (1 Viewer)

[Templar]

Indeterminate form, l'Hopital to the rescue?
i.e if f(x)/g(x) is in the indeterminate form 0/0 or infinity/infinity, then you seek f'(x)/g'(x) and so on until you get a limit?

It's not a function, so you can't apply L'Hopital (unless you want trivial results)

 

[cutemouse]

Exactly my point.

It's like 1/infinity, of course it's a very small number and can be considered 0, but it actually terms/approaches 0.

so (1-0.99...)/(1-0.99...) is undefined (ie. is 0/0)?

 

[lolokay]

was just checking..

 

[Iruka]

Exactly my point.

It's like 1/infinity, of course it's a very small number and can be considered 0, but it actually terms/approaches 0.

I think you are confusing the real number system (which does not contain infinitesimals) and the hyperreal number system (which does).

http://en.wikipedia.org/wiki/Hyperreals