>
>
> As Dima mentions, the relevant functionality is coming from Maxima in this 
> case. Maxima does have a flag you can set to let it try to expand bessel 
> functions into elementary functions, see 
> http://maxima.sourceforge.net/docs/manual/maxima_15.html#SEC80
>  It's not directly exposed in sage, but with some obscure code you can 
> activate it:
>
> sage: maxima_calculus("besselexpand:true")
> true
> sage: sum(((-1)^n)*((x)^(2*n+1))/factorial(2*n+1),n,0,oo)
> sin(x)
>  
>

Thanks, Nils.  As usual, the question becomes whether this should 
"automagically" happen in Sage for certain simplifications...

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