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Comment #2 on issue 3461 by someb...@bluewin.ch: Incorrect Limit
http://code.google.com/p/sympy/issues/detail?id=3461
Note that we can easily get the correct value by first expanding the
expression:
In [15]: expand(expr)
Out[15]: 3*_eta_k*x**2/(4*(_eta_k + 1)) - _eta_k/(4*(_eta_k + 1)) +
35*x**4/(16*(_eta_k + 1)) + 5*x**3/4 - 15*x**2/(8*(_eta_k + 1)) - 3*x/4 +
3/(16*(_eta_k + 1))
In [16]: limit(_, "_eta_k", oo)
Out[16]: 5*x**3/4 + 3*x**2/4 - 3*x/4 - 1/4
Of course this should not be necessary.
And the wrong result should really not happen.
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