What is the General Term for the Summation of x^(-1) from 0 to n?

[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]

ok thanks but i didn't get the result?

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