Answer
Diverges
Work Step by Step
Let us consider $u_n=10^{(1/n)}$
Then, we have $\lim\limits_{n \to \infty} a_n=\lim\limits_{n \to \infty} 10^{(1/n)}$
$\implies 10^{(1/\infty)}=10^{0}=1\ne 0$
Hence, the series diverges by n-th Term Test