 What am I doing wrong here? - Printable Version +- Tetration Forum (https://math.eretrandre.org/tetrationforum) +-- Forum: Tetration and Related Topics (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1) +--- Forum: Mathematical and General Discussion (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3) +--- Thread: What am I doing wrong here? (/showthread.php?tid=630) What am I doing wrong here? - JmsNxn - 05/12/2011 I was looking at tetration and considering its little taylor series, given by: (1) where: and: specifically, what I was trying to do is find a relationship between the coefficients of tetrations' little taylor series and normal taylor series. We'll say: so I'm looking for as an expression of or vice versa. So I started off by looking at (1): and now let this equal our formula for sexp(x+1) using or the normal taylor series. and subtract the right hand side from the left hand side and now, since x is essentially arbitrary, let x = l to give: but this contradicts the original Taylor series expansion which states: Any help would be greatly appreciated, thanks. The only solution I have is RE: What am I doing wrong here? - bo198214 - 05/21/2011 (05/12/2011, 07:53 PM)JmsNxn Wrote: One problem could be that if you let x=l then . And calculating with infinities is always somewhat risky. RE: What am I doing wrong here? - JmsNxn - 05/26/2011 oh, that's obvious there in the first equation. I hate missing stuff that's right in front of me. yeah, I've really started to notice that infinity is difficult to work with. It frustrated me at first but then I realize it comes with the territory.