How to determine whether $\sum_{n=1}^{\infty}\frac{1}{n^x}$ converges uniformly on $(1,4]$ [closed]

I have learned some theorems about how to determine the convergence of a series of functions, such as the continuity, integrability, differentiability theorems and Dini's theorem, as well as the Weierstrass M test.

However, I'm not sure about how to show that a series does NOT converge uniformly - this is my intuition about this one, since for example, for the weierstrass M test, the only series I can bound it with is $\sum \frac{1}{n}$, which diverges and thus not useful.