Question: For two languages L 1 and L 2 over the alphabet , we define the quotient of L 1 and L 2 to be the

For two languages L1 and L2 over the alphabet , we define the quotient of L1 and L2 to be the language

L1/L2 := {x | for some y L2 we have xy L1}.

Show that if L1 is regular, then L1/L2 is regular.

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