I am trying to solve a question for limits. Is $1^x +2^x + 3^x + .....+ n^x$, a Taylor expansion for something? What is the Taylor expansion for $n! $?
The question that I'm trying to solve is:-
$$\lim\limits_{x\to 0} \biggl(\frac{1^x +2^x + 3^x + .....+ n^x}{n}\biggr)^{1/x} $$