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Yes RE always generates a language, infact it is one of the way of describing regular languages apart from Finite state machines and regular grammars. Some of the languages generated by primitive RE are PHI, NULL STRING i.e. {€} & {a}. Other languages are derived from these primitive REs by a finite number of applications of R1+R2 (Union), r1.r2 (concatenation) , R1*(closure) & (R1).
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yes definite....

i think...

every RE is capable for generating at least one string including Epsilon...

and we know that every language is { the set of strings obtaining from finding power set of set of all strings(SIGMA*)}...or 

we can say every language is the power set of SIGMA*.....

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yes its must be true

bcz every finite language is an REGULAR LANGUAGE

 and more over every REGULAR LANGUAGE  is an FINITE LANGUAGE and that has to be accepted by pumping lemma

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