x^n<； 1, so it is only necessary to prove that 1/n p, n converges from 1 to infinite series. (Wilstrass theorem)

While 1/n p monotonically decreases relative to n, so the series and integrals converge and diverge from 1 to infinity: 1/x pdx.

When p> is 1, the integral converges and the series also converges.