Comment #4 on issue 3461 by asmeu...@gmail.com: Incorrect Limit
http://code.google.com/p/sympy/issues/detail?id=3461

As usual, gruntz does the right thing, indicating that the problem is with the limit() heuristics.

In [8]: gruntz(expr, _eta_k, oo)
Out[8]:
   3      2
5⋅x    3⋅x    3⋅x   1
──── + ──── - ─── - ─
 4      4      4    4

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