Question: Let L be a regular language over the alphabet {0,1}. Define the language PrefixL to be all the prefixes of words in L. That is:

Let L be a regular language over the alphabet {0,1}. Define the language PrefixL to be all the prefixes of words in L. That is: PrefixL = {x {0,1}*: 3y e {0,1}* xy e L} = Prove that PrefixL is also regular
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