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  3. e.c. 2. (10 pts.) suppose that (sn) is a sequence

E.C. 2. (10 pts.) Suppose that (sn) is a sequence of real numbers such that sn...

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Advance Math

E.C. 2. (10 pts.) Suppose that (sn) is a sequence of realnumbers such that sn ? 0 for all n ? N. (a) Show that the set ofsubsequential limits of S satisfies S ? [0,?) ? {+?}. (b) Is itpossible for S = [0,?) ? (Hint: apply Theorem 11.9.)

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