Let L₁ = {01'01/01): i, j>0} and L₂ = {w = {0,1}* : w contains 00}. (a) Show that L = L₁ UL2 satisfies the Pumping Lemma with pumping length 3. (b) Prove that L = L₁ U L₂ is not regular using the Myhill-Nerode theorem.

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