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#2273 limit gives the wrong answer

closed
5
2011-10-12
2011-09-16
Anonymous
No

Supposed that
f(t):=((t^2+4)^(3/2)-t^3-4*t)/(2*sqrt(t^2+4))
and
g(t):=f(t+2/t^2)/f(t)
Then
limit(g(t),t,inf)
gives -2 as the answer but the correct answer is 1 as evidenced by
limit(ratsimp(g(t)),t,inf)
and
tlimit(g(t),t,inf)

Discussion

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    Anonymous

    Anonymous - 2011-09-16
     
  • Dan Gildea

    Dan Gildea - 2011-10-12

    fixed in limit.lisp.

    in limit1, remove radlim. avoids bugs when highest-order
    terms in asymptotic behavior (asymredu) cancel. gruntz
    and tlimit work better for these cases.

     
  • Dan Gildea

    Dan Gildea - 2011-10-12
    • assigned_to: nobody --> dgildea
    • status: open --> closed
     

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