Consider the series By means of the inequalities (p > 0) and so on, deduce that the

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Consider the series

r=

By means of the inequalities (p > 0)

|| |: 2  + + + 1 14 * < 3 2   1 1 + 5 6 1 9P + + 2 1 15 1 10" + 7P 8 8 1 11" 4 4P + 1 12P + 1 13

and so on, deduce that the series is convergent for p > 1. Show that it is divergent for p ≤ 1.

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