jnu Q

[RHIDIMA]

How do we calculate the sum to the series:
1+1/2+1/3+1/4+.......

[Sinistral]

ok the one line ans to your ques is, it cant be summed as it diverges. but here is the formal proof. I have also attached the pdf file in case the jpeg is not visible.



Doc1.pdf

[RHIDIMA]

OHH thnks a lot..

[Akshay Jain]

the series 1+1/2+1/3+1/4... can also be written as submassion(1/x) where x belons to [1,inf.)
if instead of submassion we integrate it w.r.t x then we will get log(x) with limits 1 and inf.
so log(inf)- log(1) = inf...so the series diverge.