Re: How to show 1+2+3+ ... = -1/12 using Mathematica's symbols?

*To*: mathgroup at smc.vnet.net*Subject*: [mg132225] Re: How to show 1+2+3+ ... = -1/12 using Mathematica's symbols?*From*: Richard Fateman <fateman at cs.berkeley.edu>*Date*: Mon, 20 Jan 2014 04:00:45 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-outx@smc.vnet.net*Delivered-to*: mathgroup-newsendx@smc.vnet.net*References*: <lbg084$am4$1@smc.vnet.net>

On 1/18/2014 11:52 PM, Matthias Bode wrote: > Hola, > > I came across this video (supported by the Mathematical Sciences Research Institute* in Berkeley, California): > > http://www.numberphile.com/videos/analytical_continuation1.html > > Could the method shown in this video be replicated using Mathematica symbols such as Sum[] &c.? > > Best regards, > > MATTHIAS BODES 17.36398=B0, W 66.21816=B0,2'590 m. AMSL. > > *) http://www.msri.org/web/msri > Sure. Piece of cake. Sum[a^n,{n,0,Infinity}] results in 1/(1-a). %/. a->-1 tells you that this Sum is 1/2 Starting from this lie (the sum is actually divergent), you should be able to prove lots and lots of things.