Limits of Convergent Sequences Preserve Inequalities | Real Analysis
In this fantabuluous real analysis video, we prove using the epsilon-N definition of convergence that if one convergent sequence is less than or equal to another for every n in the natural numbers, then the limit of the former sequence is less than or equal to the limit of the latter. Previous video on real analysis: • Equivalent Definitions of Convergence | Re... Next video: • Sandwich Rule for Sequences (Proof + Examp... Definition of convergence video: • Convergence of Sequences - Formal (Quantif... Real analysis playlist: • Real Analysis
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