I have a number of sequences for which i have to analyse the given sequence, the part i'm having difficulty with is determining if it's cauchy and the sup/inf and limsup and liminf, normally i have a good idea if it is or isnt cauchy but am unsure how to show it.

For example how do i show if ;

n/n(n+1) is cauchy and then how do i show the limsup and liminf,

any help would be greatly appreciated i'm stuck here bigtime.

Cheers