lim(1^p+2^p+3^p+...+n^p)/n^(p+1) =lim((1/n)^p+(2/n)^p+(3/n)^p+...+(n/n)^p)*1/n =∫(0,1)x^pdx =1/(p+1)x^(p+1)|(0,1) =1/(p+1)
