Find the interval of convergence sum from 1 to infinity of ((x-2)^n)/(n3^n)?

[xynapse2003]

sum from 1 to infinity of ((x-2)^n)/(n3^n)

Ok I'm stuck on this one. I start by doing the ratio test.

lim (n --> infinity) | ((x-2)^(n+1))/((n+1)3^(n+1)) / ((x-2)^n)/(n3^n) |
lim (n --> infinity) | (n(x-1))/(3(n+1)) | <------------------This is where I'm stuck. Don't know what to do next. Please explain if you can. Thanks.

 

[TedS]

divide the top and bottom by ' n ' and take the limit....1st semester calculus