Let (sn) be a sequence that converges. (a) Show that if sn ≥ a for all...

Let (s_n) be a sequence that converges.

(a) Show that if s_n ≥ a for all but finitely many n, then lim s_n ≥ a.

(b) Show that if s_n ≤ b for all but finitely many n, then lim s_n ≤ b.

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Expert Solution

Here, first we prove the first part , further using this we prove the part (b), (c).

of a and b are disjoint.

Now part b:

Now part d:

Thus we are done!

Colby Messinger answered 1 year ago

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