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Question Number 99314 by Dwaipayan Shikari last updated on 20/Jun/20
Find[]the[]value[]of  (√(1+2(√(1+3(√(1+4(√(1+5(√(1+6(√(1+7))))))))))))....∞
$${Find}\left[\right]{the}\left[\right]{value}\left[\right]{of} \\ $$$$\sqrt{\mathrm{1}+\mathrm{2}\sqrt{\mathrm{1}+\mathrm{3}\sqrt{\mathrm{1}+\mathrm{4}\sqrt{\mathrm{1}+\mathrm{5}\sqrt{\mathrm{1}+\mathrm{6}\sqrt{\mathrm{1}+\mathrm{7}}}}}}}….\infty \\ $$
Commented by mr W last updated on 20/Jun/20
Commented by Dwaipayan Shikari last updated on 20/Jun/20
You are right sir.

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