SEARCH HOME
Math CentralQuandaries & Queries

search

Question from Waleed, a teacher:
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

About Math Central
 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS