Comment #7 on issue 1015 by [email protected]:
limit((1+x/(n+sin(n)))**n,n,oo) doesn't work
http://code.google.com/p/sympy/issues/detail?id=1015
I tried entering the original expression in (7) in Sympy Live, and it
returns 1 as the function is interpreted differently.
The (intended) simplified version of the function is (1 + x/(2n + 1))**n
Whereas Sympy is interpreting it as (1 + x/(oo*n+1))**n.
The (incorrectly) interpreted function's limit will (correctly) evaluate to
1 when n --> oo.
The intended function's limit will correctly evaluate to e**(0.5x)
Here is the output in an IPython terminal
In [27]: f = (1+x/(n/(1/2)+1))
In [28]: f
Out[28]: x/(oo*n + 1) + 1
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