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Re:Re: Normal for Limit

  • To: mathgroup at smc.vnet.net
  • Subject: [mg74481] Re:Re: Normal for Limit
  • From: Mr Ajit Sen <senra99 at yahoo.co.uk>
  • Date: Fri, 23 Mar 2007 18:57:58 -0500 (EST)

Hi,

 First of all, thanks to Sebastian & Dimitris.

 I think I've got it sussed out now:

               Normal[f[x]+O[x,a]/.x->a]

 is equivalent to

               Limit[f[x],x->a, Direction -> -1].

 If x=a is not a singularity of f[x], then

               Normal[f[x]+O[x,a]]
 will do.

 I reckon there's no Normal equivalent for

                Limit[f[x],x->a, Direction -> +1]

 for "poles" of odd order.

 Best Regards.

  Ajit.



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