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S-1-a-a-2-a-3-a-gt-0-

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Question Number 10638 by FilupS last updated on 21/Feb/17
S=(√(1+(√(a+(√(a^2 +(√(a^3 +(√(...)))))))))), a>0
$${S}=\sqrt{\mathrm{1}+\sqrt{{a}+\sqrt{{a}^{\mathrm{2}} +\sqrt{{a}^{\mathrm{3}} +\sqrt{…}}}}},\:\:\:\:{a}>\mathrm{0} \\ $$

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