trig asymptotics
- To: mathgroup at smc.vnet.net
- Subject: [mg15583] trig asymptotics
- From: Arnold Knopfmacher <arnoldk at gauss.cam.wits.ac.za>
- Date: Thu, 28 Jan 1999 04:23:17 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
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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