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| Math Central | Quandaries & Queries |
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x^x=1 |
Can you guess one solution?
(Note that 00 is not defined, but using a calculator you can persuade yourself that lim_{x->0} xx is also 1)
If 0<x<1, can x be a solution?
If 1<x can x be a solution?
What about negative x?
Good Hunting!
RD
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Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.