MadeEasy Test Series: Theory of Computation- Indentify Class Language

Question

$L^{*}-\{{\epsilon }\}=L^{+}$. True or False? (Given L is a language)

Comments

I am asking it in general :

IF this is given in exam then what will be our approach 

If it was like:

L* -{ ϵ } = L+

given L is a language made from (a,b) then?

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Even if L is empty, it's Kleene closure will have epsilon.

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Can someone confirm it