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Monotone sequences

General · Mathematics

Study notes

Q: Show aₙ = n/(n+1) converges using monotone convergence. Increasing: shown before ✓. Bounded above by 1: aₙ < 1 ✓. Monotone + bounded → CONVERGES! Limit: sup = 1 (terms approach 1, never exceed!). (No ε work needed - theorem does it!)

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