Why is the set defined as L = {L(P) : P is a partition of [a,b]} bounded above where L(P) is the lower sum of f relative to P
2026-03-28 03:00:54.1774666854
Upper and Lower bound for Riemann Sums
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Because any lower sum is bounded above by any upper sum. If $P$ and $P'$ are two partitions of $[a,b]$, then $$ L(P)\le U(P'). $$