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Answer :
If L1 and L2 are context-free languages (CFLs), the operation of union (L1 U L2) between them will also result in a CFL.
In automata theory, a context-free language (CFL) is a language that can be generated by a context-free grammar or recognized by a pushdown automaton (PDA). The operation of union (L1 U L2) between two CFLs combines all the strings that belong to either L1 or L2 or both.
When L1 and L2 are CFLs, their union L1 U L2 will also be a CFL. This is because there exists a construction known as a "union construction" that can be applied to the context-free grammars or PDAs representing L1 and L2. The union construction essentially combines the two grammars or PDAs into a new one that recognizes the union language.
Therefore, option (d) L1 U L2 is correct as it aligns with the property that the union of two CFLs is always a CFL.
Learn more about context-free languages here :
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