Evaluate $\displaystyle \lim_{n \rightarrow \infty} \bigg[ \large\frac{1^p + 2^p + 3^p....+ n^p}{n^{p+1}} \bigg ] $, where $p \gt -1$

Question

(A) $p+1 \quad$ (B)$ \large\frac{1}{p-1} \quad$ (C) $\large\frac{1}{p+1} \quad$ (D) $p-1$