Question: a. Show that for any positive integer k, the sequence defined by pn = 1/nk converges linearly to p = 0. b. For each pair

a. Show that for any positive integer k, the sequence defined by pn = 1/nk converges linearly to p = 0.
b. For each pair of integers k and m, determine a number N for which 1/Nk < 10−m.

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