just a quick question since i have no idea how to test if my thinking is right or now with maple or anything else...

i have the series:

$\displaystyle a_{n}= ln(n+1) - ln*n$ does this converge or diverge ?

my thinking was:

$\displaystyle ln(n+1) - ln *n = ln (n+1-n) = ln (1) = 0$

and the limit of 0 is zero

is this correct ?

could you help me find a way of solving such tasks with the computer to check my results ?

thanks in advance