[Maxima-bugs] [ maxima-Bugs-1646761 ] limit atanh @ -1 / 1 all wrong...

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Bugs item #1646761, was opened at 2007-01-28 23:08
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Category: None
Group: None
Status: Open
Resolution: None
Priority: 5
Private: No
Submitted By: Stavros Macrakis (macrakis)
Assigned to: Nobody/Anonymous (nobody)
Summary: limit atanh @ -1 / 1 all wrong...

Initial Comment:
limit(atanh(x),x,1) => minf  NO
   This should be complex infinity (INFINITY) since for x>1, the imagpart = -%pi/2

limit(2*atanh(x),x,1) =>
  ERROR: The number 1 isn't in the domain of atanh
  Well, that's why I'm trying to take the limit!

limit( atanh(a-1)-log(a)/2 , a, 0) => domain error
  but as taylor will show you, it is finite: -log(2)/2.

Same problems at -1.


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