The harmonic series behaves differently when you graph the individual points versus the sum of those points. Individually the points start at one and decrease to zero. Their sum, however, starts at one and increases to about 4.5, but does not converge to one number, I have calculated it to 1/100, have round-off errors from working with 15 digit numbers. Its rate of increase slows, but never stops. I had my suspicions and found where they used a computer to evaluate it. The harmonic series does not approach a single number, it diverges
The harmonic series diverges because it does not converge to a specific number, not because it is incorrectly summed to infinity. Nicole Oresme was incorrect in his summation.
I’m a music student learning music theory so I think I’m in the wrong place but I did enjoy this video
I'm also learning music theory. I'd like to clarify if we are really in the wrong place.
We're not xD
Perfect. I am lucky that I got this video during my 1st semester.
The harmonic series behaves differently when you graph the individual points versus the sum of those points. Individually the points start at one and decrease to zero. Their sum, however, starts at one and increases to about 4.5, but does not converge to one number, I have calculated it to 1/100, have round-off errors from working with 15 digit numbers. Its rate of increase slows, but never stops. I had my suspicions and found where they used a computer to evaluate it. The harmonic series does not approach a single number, it diverges
Exactly just how I thought about it. At first glance it's deceiving!
The harmonic series diverges because it does not converge to a specific number, not because it is incorrectly summed to infinity. Nicole Oresme was incorrect in his summation.
Can't wait for the proof!
Ramanujan?
Incredible!!!
Why didn't u upload this a last year. I've already taken complex variables!
Perfect
This B3 organs vro
Yrr ye English subtitle Me nii a raha
Ekk saal hochukaa hey fir bhe mey ye bolrahahu 😂 kii Khan academy india bhi hey voo ek baar visit karo👍🏻
Do you guys sexually assault cows?
first