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Repeating Powers

Marvin Ray Burns 550
March 01 2008
0

 

 

 Here is an interesting look at the tetrations (infinitely repeating powers) of some fractions.

As a side note, we see that infinitely repeating powers of 1/4 could equal one product of repeating powers of 1/16

. Download 565_multi powers 2.mw

http://www.mapleprimes.com/files/565_multi%20powers%202.mw

This worksheet shows that the graph of repeated powers is a smooth curve in some of its domain then becomes "bent" for little reason. Perhaps someone can explain why it behaves so “unruly.”

 

 

 

 
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