# Math Help - convergence of a sequence

1. ## convergence of a sequence

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:

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

my thinking was:

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

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 ?

2. Originally Posted by coobe

$ln(n+1) - ln *n = ln (n+1-n) = ln (1) = 0$
$ln(n+1) - ln *n = ln (\frac{n+1}{n})$

3. ## hi

Hi

What do you mean by $ln * n$

If you mean $ln(1+n)-ln(n) = ln(1+\frac{1}{n}) \to 0 \; \; \; , n \to \infty$