Recent questions tagged pumping-lemma

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To check L={02i |i is an integer} is regular or not ....i applied pumping lemma as below...Can anyone please explain why i am not getting it as regular ?Let Z ... dont belong to language as n may be odd.So i am not getting it as regular...
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A language $L$ satisfies the Pumping Lemma for regular languages, and also the Pumping Lemma for context-free languages. Which of the following statements about ... language.$L$ is necessarily a non-regular language.None of the above