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PostPosted: Sat, 2 Jan 2010 23:07:12 UTC 
Show that the equation x! = k \mbox{ , } k \ne 0, has an infinite number of real roots.


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PostPosted: Sat, 2 Jan 2010 23:51:30 UTC 
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Use \Gamma(x+1)=x \Gamma(x) and the Intermediate Value Theorem on intervals of negative numbers not containing an integer.

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