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MathGroup Archive 2005

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Trouble with Limit[I ... k]/k, k-> Infinity]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg56120] Trouble with Limit[I ... k]/k, k-> Infinity]
  • From: Christian Mikkelsen <s010132 at student.dtu.dk>
  • Date: Sat, 16 Apr 2005 03:51:53 -0400 (EDT)
  • Organization: UNI-C
  • Sender: owner-wri-mathgroup at wolfram.com

I am struggling to valuate an intermediate result in a long calculation
and I get stuck with terms like this one:

Limit[Exp[I k A]/k, k -> Infinity, Assumptions -> {A != 0, A \[Element]
Reals}]

In the actual expression, A are somewhat more complicated expressions but
I am willing to tell Mathematica by hand that they are real and
non-zero, however, it still doesn't work. I don't see that there is a
problem in mathematical terms so how can I convince Mathematica to
give me an answer?

Actually, Mathematica 5.1 does not mind telling me the result of

Limit[Exp[I k]/k, k -> Infinity]

At the moment I am relying on a kludge relying on pattern-matching but I
am not very good at it so there might be a point to help me on.
Any input or help will be greatly appreciated.


Thanks,

Christian


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