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Who can give me some function with asymptotics ?

  1. Sep 24, 2011 #1
    Dear Everybody,

    I need some some function f(r) with asymptotics

    as x -> 0, f-> 1*x+a*x^3+b*x^5+c*x^7+..., a,b,c>0
    as x -> infinity, f-> x*Log[x]

    I construct one like A/B*Log[1+x], where A=1+x/2+x^3/12, B=1+d*x^2.
    But I think it is too complex, such that I cannot continue my successive latter works.

    Can somebody give me a more simple such functions?

    Suggestion or hints are also welcome.

    Thank you very much!
     
  2. jcsd
  3. Sep 29, 2011 #2
    1/x works. Asymptotes are the y and x axes.
     
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