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Use the limit comparison test to determine if the series converges.
`sum_(n=1)^(oo) \ (n^2 + 10)/(n(n+1)(n-4)(n+2)) `
`sum_(n=1)^(oo) \ (n^2 + 10)/(n(n+1)(n-4)(n+2)) `
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Box 1: Select the best answer
Converges: Compare the given series to `sum_(n=1)^(oo) \ 1/n^2` (which converges by the `p`-test with `p = 2 >1`).