Question: 3 Problem Set 3 Recall that for any two regular languages Li. L. their union, intersection and concatenation are regular as well. 1. Give an

3 Problem Set 3 Recall that for any two regular languages Li. L. their union, intersection and concatenation are regular as well. 1. Give an example of two non-regular languages L1, L2 such that their concatenation is non-regular; Give an example of a non-regular lan- guages L1 and a regular language L2 such that L,UL2 is non-regular 2. Bonus problem: Give an example of two non-regular languages Li, L2 such that their concatenation is regular. Hint: the choice of an alphabet is up to you, choose the simplest

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