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#4020 various limit bugs with exp(%i*x)

None
closed
nobody
limit (217)
5
2026-08-23
2022-08-25
No

limit(x*exp(%i*x),x,inf) => und; should be infinity
limit(x+x*exp(%i*x),x,inf) => inf; should be infinity
limit(1+x*exp(%i*x),x,inf) => 1; should be infinity

Related

Bugs: #296

Discussion

  • Barton Willis

    Barton Willis - 2022-08-26

    Another:

    (%i1)   limit(sin(x) + x*cos(x),x,inf);
    (%o1)   0
    
     
  • David Scherfgen

    David Scherfgen - 2026-08-23

    Correction: limit(x+x*exp(%i*x),x,inf) should be und. x+x*exp(%i*x) is equivalent to 2*x*cos(x/2)*exp(%i*x/2), which vanishes at every odd multiple of %pi.

     
  • David Scherfgen

    David Scherfgen - 2026-08-23
    • status: open --> closed
     
  • David Scherfgen

    David Scherfgen - 2026-08-23

    Fixed by commit [5fd39c].

     

    Related

    Commit: [5fd39c]


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