Hi,

Determen whether the integral of(x-[x]-0.5)/ln(x) from 2 to infinity converges,absolutely converges or diverges,

where [x] denotes the lower integer part of x

Thank's in advance

I tried to write the integral as the infinite sum of integrals from n to n+1 of (x-n-0.5)/ln(x) but so far with no specific consequences.

also, the numerator in each interval [n,n+1] is symmetric around x=n+0.5 so translation may help.

I need some help

Thank's again

HI,

Determen whether the integral of(x-[x]-0.5)/ln(x) from 2 to infinity converges,absolutely converges or diverges,

where [x] denotes the lower integer part of x

Thank's in advance

I tried to write the integral as the infinite sum of integrals from n to n+1 of (x-n-0.5)/ln(x) but so far with no specific consequences.

also, the numerator in each interval [n,n+1] is symmetric around x=n+0.5 so translation may help.

I need some help

Thank's again