2. Language Operations Let L be a language, and let ZEROS(L) be the language formed by taking strings from L and inserting a 0 before each character in the string. In other words, if L is the language {11,0100,,0}, then ZEROS(L)= {0101,00010000,,00}. Prove that if L is regular, then ZEROS(L) is also regular. (Your proof must hold for every regular language, not just the example shown.)