With $n$ being a positive integer, the series $\sum_{n=1}^{\infty} \frac{1}{n^{p}},$ for $\mathrm{p}>1$ is

(A) convergent

(B) divergent

(C) asymptotic

(D) oscillatory

With $n$ being a positive integer, the series $\sum_{n=1}^{\infty} \frac{1}{n^{p}},$ for $\mathrm{p}>1$ is

(A) convergent

(B) divergent

(C) asymptotic

(D) oscillatory

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