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(2] Given are real numbers on and ,6, for n E N, such that on S or... and f3 2 u for all n. (a)

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(2] Given are real numbers on and ,6,\" for n E N, such that on S or...\" and f3\" 2 u\" for all n. (a) Let J" be the interval [amn]. Prove that [1:321 Jn 54$ 3. (b) Let In be the interval [mnl- Is it possible that [1:11; = ? Justify your answer. (This means, either prove that this is impossibie, or give an example of sequences on and ,3\" that satisfy the assumptions but the intersection is empty.)

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