For what $p$ values does the series $\sum_{n=1}^\infty \sqrt{n^{p-4}}$ converge? For what $p$ values does the series $\sum_{n=1}^\infty \sqrt{n^{p-4}}$ converge?
I think it's $\forall p\in[1,2)$, but I can't show it.

$$Hint*\quad :\quad (\sum _{ n=1 }^{ \infty  }{ \frac { 1 }{ { n }^{ p } }  } ,\quad p\quad is\quad positive\quad ,\quad \quad 0<\quad p\quad \le 1\quad )\quad \rightarrow \quad series\quad is\quad divergent\\ you\quad can\quad reach\quad for\quad the\quad same\quad result\quad by\quad Integeral\quad test\quad $$
