Use the Integral Test to determine whether the infinite series is convergent. $$\sum_{n=1}^{\infty} n^{-\frac{1}{5}}$$ Fill in the corresponding integrand and the value of the improper integral.
Enter inf for $\infty$, -inf for $-\infty$, and DNE if the limit does not exist.

Compare with $\int_{1}^{\infty}$ $dx$ =

By the Integral Test,
the infinite series $\displaystyle \sum_{n=1}^{\infty} n^{-\frac{1}{5}}$
A. converges
B. diverges