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Regular languages are closed under half property as well.For explanation and reference , plz consult the following link :

http://math.stackexchange.com/questions/1539658/automata-prove-that-if-l-is-regular-than-halfl-is-regular-too

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Purple asked Jan 12, 2017
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Answe is B, but why is L2 not regular? How to solve it? For L2, $ y=x^{1/n}$ I am not understanding why is this not right?