What is the sum of a finite series 1 + (1/2) + (1/3) + ... + (1/n)?

1 ⤊

2006-10-28 10:27:52 · 4 answers · asked by SS 1 in Science & Mathematics ➔ Mathematics

it is S(n) is approximately ln(n)+.5772156649...
please refer to

2006-10-31 23:22:57 · answer #1 · answered by Mein Hoon Na 7 · 0⤊ 0⤋

This is called the nth harmonic number, H_n.
Look in Knuth's "Art of Computer Programming" for
some fascinating properties of these numbers.

2006-10-28 14:34:35 · answer #2 · answered by steiner1745 7 · 0⤊ 0⤋

It's divergent. It has no finite sum ... Now do your homework and prove it.

2006-10-28 10:40:14 · answer #3 · answered by Gene 7 · 1⤊ 2⤋

Ln 2
Do your own home work.

2006-10-28 10:39:30 · answer #4 · answered by ★Greed★ 7 · 0⤊ 2⤋