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MathGroup Archive 2007

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Exclusions inconsistancy

  • To: mathgroup at smc.vnet.net
  • Subject: [mg79661] Exclusions inconsistancy
  • From: Ken Levasseur <klevasseur at mac.com>
  • Date: Wed, 1 Aug 2007 05:04:56 -0400 (EDT)

A student just pointed out to me that the asymptote at x=1 is drawn  
in the following plot only when k is odd.  For even values, no  
asymptote appears.

Plot[1/(x - 1)^k, {x, -5, 5}, PlotRange -> {{-5, 5}, {-5, 5}},
    Exclusions -> {x - 1 == 0}, ExclusionsStyle -> {{Thick, Red}}]

This appears to generalize to other examples like Tan[x]^k.

Anyone know why?

Ken Levasseur
Mathematical Sciences
UMass Lowell


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