2. (50) For each of the following languages, indicate whether it is REGULAR, CFL, RECURSIVE,RE (for recursively enumerable), NRE (for non-recursively enumerable), whichever is the mostappropriate. For example, for the language L = {a^nb^n | n > 0}, it is CFL, not REGULAR, notRECURSIVE (even though a CFL is also recursive). Similarly, for L = {a}, you should sayREGULAR even though it is also a CFL, recursive, and recursively enumerable.In addition, give a short proof for your answers. For example
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