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Trouble with FullSimplify


What is wrong with the following in Mathematica 7:

Clear[n];
FullSimplify[n Exp[-n * 0.], Element[n, Integers]]

result: n/2, which is scary. If I replace 0. by $MachineEpsilon/2, I
get a correct result.

It's also fun to express your feelings about Mathematica 7 this way:
FullSimplify[$Version Exp[$Version *($VersionNumber -
$VersionNumber)]]

Jens



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