| Author |
Comment/Response |
Shaw
|
 10/11/09 12:49pm
When I attempt to expand the factorials in terms of products in the following limit, the limit of the product forms returns 0 when it should be 4.
In[54]:=
Limit[((2*n)!/n!^2)^(1/n), n -> Infinity]
Needs["NumericalCalculus`"]
Limit[(Product[2*n - k, {k, 0, n - 1}]/
Product[n - k, {k, 0, n - 1}])^(1/n),
n -> Infinity]
NLimit[(Product[2*n - k, {k, 0, n - 1}]/
Product[n - k, {k, 0, n - 1}])^(1/n),
n -> Infinity]
Out[54]=
4
Out[56]=
0
Out[57]=
3.9999926552547405
URL: , |
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