summen
Lagt inn: 12/03-2020 14:54
[tex]S=\sqrt{\frac{2}{2^1}+\sqrt{\frac{2}{2^2}+\sqrt{\frac{2}{2^4}+\sqrt{\frac{2}{2^8}+...}}}}[/tex]
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Hva er summen lik?
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$\sqrt{\frac{2}{2^2}+\sqrt{\frac{2}{2^4}+\sqrt{\frac{2}{2^8}+...}}}=\frac{1}{\sqrt{2}}\sqrt{\frac{2}{2^1}+\sqrt{\frac{2}{2^2}+\sqrt{\frac{2}{2^4}+...}}}=\frac{1}{\sqrt{2}}S$, såJanhaa skrev:[tex]S=\sqrt{\frac{2}{2^1}+\sqrt{\frac{2}{2^2}+\sqrt{\frac{2}{2^4}+\sqrt{\frac{2}{2^8}+...}}}}[/tex]
Hva er summen lik?
Ite'no Wolfram juks.