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MathGroup Archive 2001

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Re: Plot[(1 + 10^(-k))^(10^k), {k, 2, 9}]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg27453] Re: [mg27427] Plot[(1 + 10^(-k))^(10^k), {k, 2, 9}]
  • From: BobHanlon at aol.com
  • Date: Sun, 25 Feb 2001 20:56:00 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Plot[(1+10^(-k))^(10^k), {k, 2, 9}];

Mathematica has zoomed into the region of the y-axis around E (note that to 
the maximum precision of the tick labels that they all have the same value) 
and you are looking at the noise in the machine representation of the values. 
 Override this zoom by specifying the PlotRange.

Plot[(1+10^(-k))^(10^k), {k, 2, 9}, PlotRange -> All];

or

Plot[(1+10^(-k))^(10^k), {k, 2, 9}, PlotRange -> {{2, 9}, {2.70, 2.72}}];


Bob Hanlon

In a message dated 2001/2/25 1:12:44 AM, huzhe at public3.sta.net.cn writes:

>I happen to execute:
>Plot[(1+10^(-k)^(10^k), {k, 2, 9}]
>It looks fine if you change  {k, 2, 9} to {k, 2, 3}, but otherwise the
>
>plot is absurd.
>Since
>Limit[(1+10^(-k)^(10^k), k->Infinity]==E
>may I ask what's wrong with my Mathmatica 4.0 on MMX 166 ?
>


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