They both get closer to but never reaching zero. Is the reason simply that one gets 1/x^2 gets closer to zero faster? So whats the threshold for something to be considered finite or infinite?
In: 59
It’s the speed of how fast area is added.
An example I’ve always liked is 1/(10^x). Add these up:
0.1
0.01
0.001
And so on. Add an infinite number of these, and it’s a finite number: 1/9. Because each next term is so much smaller that the previous one, adding an infinite number of these positive numbers yields a finite number, which seems counter intuitive.
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