- #1

brushman

- 113

- 1

We know

[tex] \lim_{n\rightarrow\infty} 1/n = 0[/tex]

So, given the harmonic series, aren't you eventually adding 0? I know we are not, but why not?

Apparently, the sequence is not approaching 0 'fast enough', but what determines how fast you need to approach 0 for a series to converge? And why is this an issue when we're looking at the infinite term?