Multiple choice

Consider the languages L1 = $\phi$ and L2 = {a}. Which one of the following represents L1 $L_2^$$UL_2^$?

  1. {$\in$}
  2. $\phi$
  3. $a^*$
  4. {$\epsilon, a$}
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A Correct answer
Explanation

Concatenation of empty language with any language will give the empty language and $L_1^=\phi_ = \epsilon$. Hence, $L_1 L_2^* UL_1^* = \{\epsilon \}$

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