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Question Number 204686 by Davidtim last updated on 25/Feb/24

(√(a−(√(a−(√(a−∙∙∙))))))=?

a−a−a−⋅⋅⋅=?

Commented by A5T last updated on 25/Feb/24

If (√(a−(√(a−(√(a−...)))))) converges, then (√(a−x))=x ⇒x^2 +x−a=0⇒x=((−1+_− (√(1+4a)))/2)

Ifa−a−a−...converges,thena−x=x⇒x2+x−a=0⇒x=−1+−1+4a2

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