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Limits

  • To: mathgroup at smc.vnet.net
  • Subject: [mg7741] Limits
  • From: hans.steffani at e-technik.tu-chemnitz.de (Hans Steffani)
  • Date: Mon, 7 Jul 1997 04:41:16 -0400
  • Organization: University of Technology Chemnitz, FRG
  • Sender: owner-wri-mathgroup at wolfram.com

Does Limit[] not know about L'Hospital?

In[1]= (2 Mi OmegaSyn Rr-3 sk^2 Us^2+
   Sqrt[-4 Mi^2 OmegaSyn^2 Rr^2 sk^2+9 sk^4 Us^4])/(2 Mi Rr)
Out[1]=
                        2   2
(2 Mi OmegaSyn Rr - 3 sk  Us  + 
              2         2   2   2       4   4
    Sqrt[-4 Mi  OmegaSyn  Rr  sk  + 9 sk  Us ]) / (2 Mi Rr)

In[2]= Limit[%, Mi->0]
Out[2]=
               2   2            4   4
Infinity (-3 sk  Us  + 3 Sqrt[sk  Us ])
---------------------------------------
                  Rr

In[3]= Limit[ D[Numerator[%%], Mi]/ D[Denominator[%%], Mi]
      ,Mi->0 ] (* Is L'Hospital possible? *)
Out[3]= OmegaSyn

Hans Friedrich Steffani
--
Hans Friedrich Steffani
Institut fuer Elektrische Maschinen und Antriebe, TU Chemnitz-Zwickau
mailto:hans.steffani at e-technik.tu-chemnitz.de
http://www.tu-chemnitz.de/~hfst/


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