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Infinite Serieseasy
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Which of the following p-series converge? (i) ∑n=1∞1n1.5\sum_{n=1}^{\infty} \frac{1}{n^{1.5}}∑n=1∞​n1.51​; (ii) ∑n=1∞1n0.8\sum_{n=1}^{\infty} \frac{1}{n^{0.8}}∑n=1∞​n0.81​; (iii) ∑n=1∞1n2\sum_{n=1}^{\infty} \frac{1}{n^2}∑n=1∞​n21​