Proof: Absolute Value Theorem for Sequences | Real Analysis

Опубликовано: 07 Август 2026
на канале: Wrath of Math

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Real Analysis course:    • Real Analysis
Real Analysis exercises:    • Real Analysis Exercises

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We prove if the absolute value of a sequence converges to 0 then the original sequence does as well. So if (|a_n|) converges to 0 then (|a_n|) does as well. We go through two proofs of this, one using the definition of a convergent sequence and the other using the squeeze theorem. #RealAnalysis

Proof for Absolute Value of a Convergent Sequence:    • Proof for Absolute Value of a Convergent S...
Proof of Squeeze Theorem:    • Proof: Sequence Squeeze Theorem | Real Ana...

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