*n*gets very large indeed (tends to infinity)

these resources involve two of their functions plus another one

what fractions are shaded with a colour (out of the whole rectangle) at each stage?

what happens to this fraction as the shape (

*n*) grows bigger and bigger?

all give rise to a common set (or subset) of fractions

with the same limit...

why?

the puntmat post helpfully included some animated gifs for two of these sequences:

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