November 11th, 2017, 07:52 AM  #1 
Senior Member Joined: Nov 2011 Posts: 110 Thanks: 1  0^0
Why 0^0 is not define?

November 11th, 2017, 09:50 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,031 Thanks: 2342 Math Focus: Mainly analysis and algebra 
Because $0^x=0$ for all $x \ne 0$ and $x^0=1$ for all $x \ne 0$, so there is no way to pick an answer. In reality, if a function heads towards $0^0$, it can have any one of a range of values in the limit. 

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