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(i) Show that if we add a finite set of words to a regular language, the result is a regular language. (ii) Show that if

(i) Show that if we add a finite set of words to a regular language, the result is a regular language.

(ii) Show that if we subtract a finite set of words from a regular language, the result is a regular l anguage.

(iii) Show that if we add a finite set of words to a nonregular language, the result is a nonregular language.

(iv) Show that if we subtract a fi nite set of words from a nonregular language, the result is a nonregular language.

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