Comment #11 on issue 835 by [email protected]: limit((5**x+3**x)**(1/x), x,
oo) TODO
http://code.google.com/p/sympy/issues/detail?id=835
With the commit of issue 2161 [ https://github.com/sympy/sympy/pull/94 ]
this gives
h[1] >>> e = log(1/x + (1/x)**(log(5)/log(3)))
h[1] >>> e.nseries(x, 0, 3)
-log(5)*log(x)/log(3) + x**(-1 + log(5)/log(3)) - x**(-6 +
6*log(5)/log(3))/6 +
x**(-5 + 5*log(5)/log(3))/5 - x**(-4 + 4*log(5)/log(3))/4 + x**(-3 +
3*log(5)/lo
g(3))/3 - x**(-2 + 2*log(5)/log(3))/2 + O(x**3)
=
h[2] >>> e = log(1/x + (1/x)**(log(5)/log(3)))/y
h[2] >>> e.nseries(x, 0, 3)
-log(5)*log(x)/(y*log(3)) + x**(-1 + log(5)/log(3))/y - x**(-2 +
2*log(5)/log(3)
)/(2*y) - x**(-4 + 4*log(5)/log(3))/(4*y) - x**(-6 +
6*log(5)/log(3))/(6*y) + x*
*(-3 + 3*log(5)/log(3))/(3*y) + x**(-5 + 5*log(5)/log(3))/(5*y) +
O(x**3)
=
h[3] >>> limit(exp(log(1/x + (1/x)**(log(5)/log(3)))/y), x, 0)
0
The limit((5**x+3**x)**(1/x), x, oo) produces a recursion error.
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