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Student Support Forum: 'Limit giving wrong answer' topicStudent Support Forum > General > "Limit giving wrong answer"

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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

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Subject (listing for 'Limit giving wrong answer')
Author Date Posted
Limit giving wrong answer Shaw 10/11/09 12:49pm
Re: Limit giving wrong answer Peter Pein 10/23/09 11:06am
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