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THE  CORUNDUMINIUM

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       This section is devoted to things related to the constant e, the base of the "natural" exponential and logarithmic functions.   
     
       "Transcendental Meditation" is about the definitions of e, both as the classical limit and in terms of area under a curve.  It is the simplest way I know of to of make the connection and prove the existence of the classical limit in a way my students seem to enjoy.  The images below are thumbnails of the four page manuscript.  By clicking on them you should be able to see the high resolution images, which on my computer are too big but hopefully you can reformat them.  I will try to solve this problem and reformat them here.   
     
   
 

 
 
     
     
     Plans are for a second paper to be published here on the convergence of the "exponential tower function" which is the limit of "x to the x to the x to the  x...".