MathGroup Archive 2007

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Re: limit

  • To: mathgroup at smc.vnet.net
  • Subject: [mg78649] Re: limit
  • From: chuck009 <dmilioto at comcast.com>
  • Date: Fri, 6 Jul 2007 03:21:43 -0400 (EDT)

I believe in the complex variable sense, the limit does not exist.  In the real sense, I suspect the limit from the left is -1/8.  I kicked it up a notch:

In[42]:=
Print[Block[{$MaxExtraPrecision=75},
    N[(formula/.s\[Rule]1-#)&/@ Table[10^(-n),{n,11,20,1}],30]
    ]]


>From In[42]:=
{-0.125000000002887604520403672683,-0.125000000000288760452037943792,-0.\
125000000000028876045203770144,-0.125000000000002887604520376772,-0.\
125000000000000288760452037675,-0.125000000000000028876045203767,-0.\
125000000000000002887604520377,-0.125000000000000000288760452038,-0.\
125000000000000000028876045204,-0.125000000000000000002887604520}

Here's one way out there:

In[44]:=
Block[{$MaxExtraPrecision=75},
  N[formula/.s\[Rule]1-10^(-50),70]
  ]


Out[44]=
-0.1250000000000000000000000000000000000000000000000028876045203767451677

Would nice to see a proof of this though :)


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