$\displaystyle \sum(-1)^{n}\frac{1+n}{n^{2}-n}$

in the sum n=2 and goes to infinity

so is the sequence divergent, conditionally convergent or absolutely convergent?

so I chose conditionally convergent because of the (-1)^n

but the limit comparison test tells me that the series is divergent since 1/n is divergent....so does this problem work out?