The command sum( ((-1)^k*(x^(2*k+1))/factorial(2*k+1)),k,0,oo) should give
sin(x) - it does in Mathematica. But in Sage it gives
1/2*sqrt(pi)*sqrt(2)*sqrt(x)*bessel_j(1/2, x)
which can't be evaluated numerically:
_(x=3).N()
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "_sage_input_4.py", line 10, in <module>
exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8
-*-\\n" +
_support_.preparse_worksheet_cell(base64.b64decode("Xyh4PTMpLk4oKQ=="),globals())+"\\n");
execfile(os.path.abspath("___code___.py"))
File "", line 1, in <module>
File "/tmp/tmpMc56sG/___code___.py", line 3, in <module>
exec compile(u'_(x=_sage_const_3 ).N()
File "", line 1, in <module>
File "expression.pyx", line 4319, in
sage.symbolic.expression.Expression._numerical_approx
(sage/symbolic/expression.cpp:20837)
TypeError: cannot evaluate symbolic expression numerically
What am I missing here? I am using Sage 5.3.
Thanks!
--
Renan Birck Pinheiro - Grupo de Microeletrônica
Engenharia Elétrica - UFSM - Santa Maria, Brasil
http://renanbirck.blogspot.com - +55 55 91162798
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