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Question Number 8368 by Nayon last updated on 09/Oct/16

  prove  π=(6/(√3))×Σ_(x=1) ^∞ (((−1)^(x+1) )/((2x−1)×3^(x−1) ))

$$ \\ $$$${prove} \\ $$$$\pi=\frac{\mathrm{6}}{\sqrt{\mathrm{3}}}×\underset{{x}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{x}+\mathrm{1}} }{\left(\mathrm{2}{x}−\mathrm{1}\right)×\mathrm{3}^{{x}−\mathrm{1}} } \\ $$$$ \\ $$

Answered by Nayon last updated on 09/Oct/16

Commented by prakash jain last updated on 14/Oct/16

How does this prove the quesion?

$$\mathrm{How}\:\mathrm{does}\:\mathrm{this}\:\mathrm{prove}\:\mathrm{the}\:\mathrm{quesion}? \\ $$

Answered by Nayon last updated on 09/Oct/16

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