A surprisingly *convergent* series
If we remove all 9's from the harmonic series, it converges! How is that possible?!
If you want to learn more calculus, you might like this 👉 • Why do we need limits? #limits #calculus
0:00 An unintuitive result
1:07 Why does the harmonic series diverge?
2:45 Even if we remove the odds, it still diverges
3:14 Kempner's argument
7:18 Actually, 9 wasn't special
#series #analysis #calculus #puremaths #puremathematics #convergence #limits