0^0

Marc LeBrun mlb at fxpt.com
Sat May 7 18:42:10 CEST 2005


Not to beat this to death, but by amusing coincidence, the latest issue of 
Mathematics Magazine--in an article about articles in Mathematics 
Magazine--cites "The indeterminate form 0^0" by Rotando & Korn (1977) 
saying "Calculus instructors who assign exercises of the form lim x->0+ 
f(x)^g(x)...may wonder at the ubiquity of 1 as the answer." and asserting 
this is true whenever f and g are essentially analytic (you can see the 
articles for the exact conditions, fine print and other important legal 
notices).







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