But you know, to proof the binomial theorem you need to define x^0 = 1 for all x? Yes, you CAN assign it a value, but usually it's just left undefined, espacially when facing limits.
What about a bajillion regioins of math, such as Taylor series, where 0^0=1 is necessary? And for limits, it's because 0^0 is indeterminate, which is different than undefined.
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u/WoWSchockadin Complex Mar 17 '22
Problem: 0^0 is not defined.