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Series expansion of ArcSin around 1
*To*: mathgroup at smc.vnet.net
*Subject*: [mg21598] Series expansion of ArcSin around 1
*From*: Jacek Pliszka <pliszka at fuw.edu.pl>
*Date*: Sun, 16 Jan 2000 22:43:46 -0500 (EST)
*Sender*: owner-wri-mathgroup at wolfram.com
Hi!
I have the following problem. My x is close to 1 but sligthly
smaller. I want to expand ArcSin[x] around 1 but this is what I get:
In[53]:= Series[ArcSin[x],{x,1,4}]
I 3/2 3 I 5/2
- (-1 + x) --- (-1 + x)
Pi 6 80
Out[53]= -- - I Sqrt[2] Sqrt[-1 + x] + ------------- - --------------- +
2 Sqrt[2] Sqrt[2]
5 I 7/2
--- (-1 + x)
448 9/2
> --------------- + O[-1 + x]
Sqrt[2]
How to tell Mathematica that my x is real and smaller than 1
so it will not return all this complex numbers?
Thanks for any help,
Jacek
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