$\lim\limits_{n\to\infty}\large\frac{1^p+2^p+3^p+.....+n^p}{n^{p+1}}$ is

Question

$\begin{array}{1 1}(a)\;\large\frac{1}{p+1}&(b)\;\large\frac{1}{1-p}\\(c)\;\large\frac{1}{p}-\frac{1}{p-1}&(d)\;\large\frac{1}{p+2}\end{array}$