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r-1-1-r-k-is-divergent-for-A-k-1-B-k-gt-2-C-k-2-D-0-k-lt-2-




Question Number 77147 by Rio Michael last updated on 03/Jan/20
 Σ_(r=1) ^∞ (1/r^k ) is divergent for:  A. k ≤ 1  B. k > 2  C. k ≤ 2  D. 0 ≤ k < 2
$$\:\underset{{r}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{r}^{{k}} }\:{is}\:{divergent}\:{for}: \\ $$$${A}.\:{k}\:\leqslant\:\mathrm{1} \\ $$$${B}.\:{k}\:>\:\mathrm{2} \\ $$$${C}.\:{k}\:\leqslant\:\mathrm{2} \\ $$$${D}.\:\mathrm{0}\:\leqslant\:{k}\:<\:\mathrm{2} \\ $$
Commented by JDamian last updated on 03/Jan/20
A
$${A} \\ $$

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