3 ms·
> Would you say that the value of the infinite sum 1/2 + 1/4 + 1/8 + ... is 1 or that it is an unknown number? Integral of 1/2^n ... got that no problem. I to
by speedplane 7y ago
> Would you say that the value of the infinite sum 1/2 + 1/4 + 1/8 + ... is 1 or that it is an unknown number?
Integral of 1/2^n ... got that no problem.
I took AB Calculus in high school, three semesters of calculus in college, and a bunch of calculus heavy linear algebra. I’m certain that I knew how to integrate that thing at some point... it’s pretty sad that now I can only stare at it blankly and at best lean heavily on Wikipedia to find an answer.
- kgwgk 7y agoWhat I wrote is an infinite series and it’s much simpler to solve than the integral: https://en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/16_%2B_⋯ https://en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/16_%...
- speedplane 7y agoHa, yup, citing a Wikipedia article too. At least I’m not alone.