Question: Let xn := 1/12 + 1/22 + +1/n2 for each n N. Prove that (xn) is increasing and bounded, and hence converges. [If

Let xn := 1/12 + 1/22 +∙ ∙ ∙+1/n2 for each n ∈ N. Prove that (xn) is increasing and bounded, and hence converges. [If k > 2, then 1/k2 1/k(k - 1) = 1/(k - 1) - 1/k.]

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