Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2000
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2000

[Date Index] [Thread Index] [Author Index]

Search the Archive

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




  • Prev by Date: Re: entering an equation
  • Next by Date: Re: generating subsets
  • Previous by thread: Re: generating subsets
  • Next by thread: Re: Series expansion of ArcSin around 1