Question: Problem 1 (Set Operations) (10+10+10=30 points) (a) Let 51, 52. ... be an infinite sequence of sets. Prove that nUs. = (xx ( S,, for

Problem 1 (Set Operations) (10+10+10=30 points) (a) Let 51, 52. ... be an infinite sequence of sets. Prove that nUs. = (xx ( S,, for infinitely many n). (Hint: To prove that S = T, we need to show S C T and T C S)

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