Consider the following statements with respect to the language L = {anbn |n≥ 0}

S1 : L2 is context free language

S2 : Lk is context-free language for any given k ≥ 1

S3 : L̅ and L* are context free languages

Which one of the following is correct?

1
only S1 and S2
2
only S1 and S3
3
only S2 and S3
4
S1, S2 and S3

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