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Omni-MATH / Find the largest real number k such that there exists a sequence of positive reals a_(i) for which ∑_(n=1)^(∞)a_(n) converges but ∑_(n=1)^(∞)(√(a_(n)))/(n^(k)) does not. · Discussion

Discussing Find the largest real number k such that there exists a sequence of positive reals {a_(i)} for which ∑_(n=1)^(∞)a_(n) converges but ∑_(n=1)^(∞)(√(a_(n)))/(n^(k)) does not. · Omni-MATH

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