MathGroup Archive 1999

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trig asymptotics

  • To: mathgroup at
  • Subject: [mg15583] trig asymptotics
  • From: Arnold Knopfmacher <arnoldk at>
  • Date: Thu, 28 Jan 1999 04:23:17 -0500 (EST)
  • Sender: owner-wri-mathgroup at

Hi All

How do  I get an asymptotic expansion for large n of the function (1/2)
ArcTan[n] ArcSinh[n]?  The command

Series[(1/2) ArcTan[n] ArcSinh[n], {n, Infinity, 2}] does not work..

The output I expect is
(Log[n]+Log[2]) Pi/4 -(Log[2]/2+Log[n]/2)/n +O[1/n^2]. Thank you

Arnold Knopfmacher
Wiwwatersrand University

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