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tiny q: superroots of real numbers x>e
#2
Gottfried Wrote:On the other hand, it should arrive at 3^(1/3)...

Do I actually overlook something and the sequence can indeed cross e^(1/e)?

Indeed a very interesting observation, Gottfried.

You only arrive at the expected value if it is , i.e.
only if .

This is because for , where and .

For , for example , is always for each . Suppose otherwise then would , for while .
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RE: tiny q: superroots of real numbers x>e - by bo198214 - 02/02/2009, 10:21 PM

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