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its simple ur logic was correct but i think u didnt think in this way

L2 = { X1/0 , X1/1,X1/2,X1/3,X1/4.............}

the means L2= {infinity, X1,X0.5,X0.75,X0.25...................} here these are not in AP (unequal common difference),so this might be the condition for NON-REGULARITY 

if i went wrong let me know

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