Question Number 94648 by msup by abdo last updated on 20/May/20
$${find}\:{a}\:{equivslent}\:{for} \\ $$$${u}_{{n}} =\mathrm{1}\:+\mathrm{2}^{\alpha} \:+\mathrm{3}^{\alpha} \:+….+{n}^{\alpha} \\ $$$${n}\rightarrow+\infty\:\:\:\:\:\:\:\:\:\left(\alpha>\mathrm{0}\right) \\ $$