Question: For a language $L subseteq Sigma ^ * $ , define $$ text { H } ( L ) = {

For a language $L \subseteq \Sigma^*$,define $$\text{H}(L)=\{x \in \Sigma^*: xx \in L\}.$$ Prove that if $L$ is regular, then so is $\text{H}(L)$.

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