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Bounded Sequences

Today we are going to study the definition of Bounded Sequences and a theorem related to the relation between convergence and boundedness of a real sequences. 01:06 - Definition of Bounded Sequence 03:12 - Property of Absolute value of a real number 05:28 - Example of a bounded sequence 08:58 - Example for Unbounded sequence 11:00 - Sequence is bounded if and only if corresponding set is bounded 11:30 - Example 14:09 - Theorem 15:27 - Definition of a convergence of real sequence 18:40 - Triangle Inequality 32:44 - Conclusion of the theorem 34:00 - Converse of the theorem 34:26 - Example 36:25 - Conclusion 36:36 - Thank You Important links 1. Property of absolute value of a real number :-    • Absolute value of a Real number   2. Definition of a Convergent sequence (Limit of a Sequence) :-    • Limit of a Sequence   3. Triangle Inequality :-    • Triangle Inequality