Re: O in Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg96021] Re: O in Mathematica
- From: Scott Hemphill <hemphill at hemphills.net>
- Date: Sun, 1 Feb 2009 04:42:44 -0500 (EST)
- References: <gls1vl$hl1$1@smc.vnet.net> <200901301046.FAA06594@smc.vnet.net> <gm1djf$3m1$1@smc.vnet.net>
- Reply-to: hemphill at alumni.caltech.edu
DrMajorBob <btreat1 at austin.rr.com> writes: >> 2 2 >> Pi 1 1 8 + 3 Pi 8 + Pi 1 5 >> Out[9]= Pi n + -- - ---- + ------- - --------- + -------- + O[-] >> 2 Pi n 2 3 3 3 4 n >> 2 Pi n 12 Pi n 8 Pi n > > I gather (just guessing) that's an approximation to > > n Pi + Arctan[n] > > for large n? Not quite. This is the asymptotic expansion for the solution to x==Tan[x] which is near to Pi*n + Pi/2. Scott -- Scott Hemphill hemphill at alumni.caltech.edu "This isn't flying. This is falling, with style." -- Buzz Lightyear