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Series expansion of ArcSin around 1


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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