The Infinite Grains of Sand: A Mind-Bending Calculus Lesson!

I'm an engineer so you know I took a lot of calculus and we we did a lot of limits. I mean when you go to a limit of infinity um you could just figure things out not by going to infinity but by you know plotting plotting doing a plot and you can you could see a plot approaching zero for example that that's an asmtoic example like a a real world uh example is say let we have a pile of sand. Let's say say we have 21 million grains of sand.So a person comes and takes half of that and in four years they take an ...