Searching for an asymptotic to exp[0.5]
Since the beginning of this thread i noticed a problem that has not been adressed.

The problem occurs with all methods.

I mentioned it but I guess it was not clear enough.
Maybe because I anticipated the problem before we had the actual methods.

So now that we have a dozen methods or so , it is time to bring it Up again.

This might also explain why MSE and MO users are ignoring this ( mick's Posts ).

In a way it resembles irrationality issues ; the irrationallity of a Sum of fractions is independant of the first n fractions. And by induction n+1 and by further induction ... You get the idea.

This looks cryptic so
Lets give the clarifying example :


Fake ( exp^[1/2] + 10 x) is off by a factor n^10 or n^10.5 depending on the method used.

Check it yourself.

Fake ( exp(x) + x^2 ) is even worse.

Regards

Tommy1729

-----

This appears to be a mistake and is considered for delete !
Reply


Messages In This Thread
RE: Searching for an asymptotic to exp[0.5] - by tommy1729 - 10/06/2015, 12:26 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
Question Tetration Asymptotic Series Catullus 18 22,311 07/05/2022, 01:29 AM
Last Post: JmsNxn
  Using a family of asymptotic tetration functions... JmsNxn 15 24,696 08/06/2021, 01:47 AM
Last Post: JmsNxn
  Reducing beta tetration to an asymptotic series, and a pull back JmsNxn 2 6,845 07/22/2021, 03:37 AM
Last Post: JmsNxn
  A Holomorphic Function Asymptotic to Tetration JmsNxn 2 6,279 03/24/2021, 09:58 PM
Last Post: JmsNxn
  An asymptotic expansion for \phi JmsNxn 1 4,863 02/08/2021, 12:25 AM
Last Post: JmsNxn
  Merged fixpoints of 2 iterates ? Asymptotic ? [2019] tommy1729 1 8,048 09/10/2019, 11:28 AM
Last Post: sheldonison
  Another asymptotic development, similar to 2sinh method JmsNxn 0 6,947 07/05/2011, 06:34 PM
Last Post: JmsNxn



Users browsing this thread: 6 Guest(s)