Let A be a regular set. Consider the two sets below
L1={x | $\exists n\geq 0, \exists y\epsilon A :$ y=$x^n$}
L2={x | $\exists n\geq 0, \exists y\epsilon A :$ x=$y^n$}
which of the following statements is true?
- L1 and L2 both are regular
- L1 is regular but L2 is not
- L1 is not regular but L2 is
- L1 and L2 both are non-regular