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find-the-nature-of-n-1-arcos-1-1-n-a-z-n-with-a-gt-1-




Question Number 28168 by abdo imad last updated on 21/Jan/18
find the nature of  Σ_(n=1) ^∞ arcos(1−(1/n^a ))z^n   with a>1.
$${find}\:{the}\:{nature}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} {arcos}\left(\mathrm{1}−\frac{\mathrm{1}}{{n}^{{a}} }\right){z}^{{n}} \:\:{with}\:{a}>\mathrm{1}. \\ $$

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