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!)