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Don't know what that will do, but we'll see. [[User:Jhunsber|His Awesomeness, Josh Hunsberger]]
 
Don't know what that will do, but we'll see. [[User:Jhunsber|His Awesomeness, Josh Hunsberger]]
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Nevermind, I figured it out.  You just have to do a second comparison between the resultant denominator in the limit with a simpler version, and show how that the limit is less than one.
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[[User:Jhunsber|His Awesomeness, Josh Hunsberger]]

Revision as of 19:56, 4 November 2008

Okay, I'm having a bit of trouble with this one. Neither the root test nor the ratio test is pretty. Should I try to use a different test? It's kind late, so my thoughts are a bit scrambled. I think I'm gonna try to rewrite the sum and see what that gets me.

$ \frac{n!}{n^n}=\frac{(n-1)!}{n^{n-1}} $

Don't know what that will do, but we'll see. His Awesomeness, Josh Hunsberger

Nevermind, I figured it out. You just have to do a second comparison between the resultant denominator in the limit with a simpler version, and show how that the limit is less than one.

His Awesomeness, Josh Hunsberger

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang