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MathGroup Archive 2007

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limit behavior, part 2

  • To: mathgroup at smc.vnet.net
  • Subject: [mg73293] limit behavior, part 2
  • From: "dimitris" <dimmechan at yahoo.com>
  • Date: Fri, 9 Feb 2007 23:40:32 -0500 (EST)

A graphical examination shows that the function in question (-
Log[Abs[x1]] - (1/2)*Sqrt[Pi]*MeijerG[{{0}, {}}, {{0, 0}, {1/2}},
x1^2]) indicates that it behaves like [{-Log[Abs[x1]] as x1>>,
but I still look for a symbolic verification if possibly!

Plot[{-Log[Abs[x1]], -Log[Abs[x1]] - (1/2)*Sqrt[Pi]*MeijerG[{{0}, {}},
{{0, 0}, {1/2}}, x1^2]}, {x1, 2, 10}, PlotPoints -> 1000,
  PlotStyle -> {Red, Blue}]

Dimitris



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