concept notes on harmonic series and p-series

[sanitycandy]

(This post is temporary.)

The infinite sum of 1/np (p-series) converges for all p greater than 1.

But why does the harmonic series (p=1) diverge?

"For sum(an) to converge it is necessary but not sufficient that an converge to zero as n goes to infinity

Comments

harmonic series divergence

[xv]

You might find this page useful. (sanitycandy contributed to this comment.)

Re: harmonic series divergence

[xv]

we also found this link helpful, and now I've made not one but two relevant comments on the most difficult friends post of the day. Difficult for me, though Justin tells me this is unimpressive basic calculus. I will therefore curb my enthusiasm.