solve a simple limit

spectrum123

here is the Q. i want a general term for Ʃx^(-1) for which limits are x from 0 to n
or simply a general term for 1^-1+2^-1+3^-1+4^-1+..... till n

micromass

See http://en.wikipedia.org/wiki/Harmonic_number

spectrum123

ok thanks but i didn't get the result????

mathman

There is no exact expression - it is ≈ ln(n).

Bohrok

The section on Rate of divergence gives a formula for the kth partial sum:

spectrum123

ok now i know its out of my domain... thanks for helping