## Calculus (3rd Edition)

To apply the root test, we have $$L=\lim _{k \rightarrow \infty} \sqrt[k]{a_{k}}=\lim _{k \rightarrow \infty} \sqrt[k]{(k/(k+10)^k)}\\ =\lim _{k \rightarrow \infty} \frac{k}{k+10}=1$$ Hence the root test is inconclusive.