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Homework Statement
Please review the attachment.
Why can L be OUTSIDE of D ?
[tex] x_n \in D[/tex] and D is bounded. So doesn't that mean that any subsequential limit of [tex]x_n[/tex] has to be in D ? Btw, Theorem 3.10 is Bolzano Weierstrass.
Theorem 4.4 Says that A continuous function on a closed interval is uniformly continuous there.
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