Does it mean that if $x>y$ then $f_n(x)<f_n(y)$ for all $n$ or that for all $x$, $f_{n+1}(x)<f_n(x)$?
2026-03-29 11:20:06.1774783206
What does it mean when it says that the sequence of functions $f_n$ decreases monotonically?
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A sequence of functions that converges pointwise on $[a,b]$ to $f$ is monotonically decreasing if $\forall x \in [a,b]$
$$f_{n}(x) > f_{n+1}(x)$$