Formal Grammars Let Σ be an alphabet and G₁ be a Context Free Grammar defined as G₁ = = (V₁, E, P₁, S1). nd let the starting symbol S₁ derive, that is S1=* 6. Let us now consider the grammar G₂ also defined as G2 = (V2, E, P2, S2). ith V₂ = V₁ U {S₂} P₂ = P₁U {S₂ → S1 S₂ €} 1. State whether or not G₂ is also Context Free. Justify your answer. [5 Marks] 2. If we assume that G₁ is in the Chomsky Normal Form, state whether or G₂ is also in the Chomsky Normal Form. Justify your answer. [5 Marks] 3. If L₁ and L2 are the languages produced by G₁ and G2, respectively, state what is, if any, the relation between the two languages (the relation between L₁ and L₂). Justify your answer by providing a pertinent example.