When trying to compute this sequence I get an error
syms n
limit(((-3)^n)/factorial(n),inf)
Error using factorial (line 17) N must be a matrix of non-negative integers. Error in (line 9)
How do you fix this or specify the matrix they want?
The factorial function wasn't designed for use of symbolic references, and often chokes on them. It might work if you have a new enough version (2012b claims it works), but I don't think it'll necessarily work with older versions, I've found some documents claiming it won't in fact. The following two methods have been suggested to work around the problem.
limit((-3)^n/sym('n!'),n,inf)
limit((-3)^n/gamma(n+1),n,inf)