Statement - Let X = (xn) be a bounded sequence of real numbers and let x belongs to R have the property that every convergent subsequence of X converges to x. Then the sequence X converges to x.
Important results for this theorem
1. Bounded Sequence :- • Bounded Sequences
2. Theorem (Divergence of a Sequence) - • Theorem - Divergence ...
3. The Bolzano - Weierstrass Theorem - • The Bolzano Weierstr...
Негізгі бет Theorem
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