Try another version of this question Get help: Box 1: Select the best answer
Use the limit comparison test to determine if the series converges.
`sum_(n=1)^(oo) \ (n^2 + 17)/(n(n+5)(n-2)(n+1)) `
Converges: Compare the given series to `sum_(n=1)^(oo) \ 1/n^2` (which converges by the `p`-test with `p = 2 >1`).