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Question Number 98955 by Ar Brandon last updated on 17/Jun/20

lim_(x→0) (√(x+(√(x+(√(x+(√(x+∙∙∙))))))))

$$\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\sqrt{\mathrm{x}+\sqrt{\mathrm{x}+\sqrt{\mathrm{x}+\sqrt{\mathrm{x}+\centerdot\centerdot\centerdot}}}} \\ $$

Commented by mr W last updated on 17/Jun/20

= Q98858

$$=\:{Q}\mathrm{98858} \\ $$

Commented by Ar Brandon last updated on 17/Jun/20

Thanks

$$\mathrm{Thanks} \\ $$

Answered by frc2crc last updated on 18/Jun/20

=1

$$=\mathrm{1} \\ $$

Answered by Ar Brandon last updated on 18/Jun/20

Commented by student work last updated on 19/Jun/20

if we ((1−(√(1+0)))/2)=(0/2)=0 wrong or right?

$$\mathrm{if}\:\mathrm{we}\:\frac{\mathrm{1}−\sqrt{\mathrm{1}+\mathrm{0}}}{\mathrm{2}}=\frac{\mathrm{0}}{\mathrm{2}}=\mathrm{0}\:\mathrm{wrong}\:\mathrm{or}\:\mathrm{right}? \\ $$

Commented by MJS last updated on 19/Jun/20

wrong

$$\mathrm{wrong} \\ $$

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