Reminds me of a discussion with a friend (who is not a mathematician) about how to solve limits like sin(3x^2)/(1-cos(x)) as x->0. He said that they were taught to use L'Hôpital and nothing can be as simple; I said 6. (asymptotic expansions ftw)
-
Well, I've always heard the term "asymptotic expansion near a point" to mean exactly Taylor series.
interesting i've only ever heard asymptotic expansion to be an expansion about z=infinity
-
-
Yep, that's why I added "near a point".
-
Fair.. Though this conversation is also rather pointless since we all clearly know how to do whatever the hell we're calling by different names
- 2 more replies
New conversation -
-
-
Yeh usually i would say "expansion about x" to be about a point, in thia case zero. And I'd say "asymptotic expansion" to refer to some kind of limit towards infinity (in a general sense even)
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.