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Question Number 86592 by M±th+et£s last updated on 29/Mar/20

prove that  2Σ_(x=1) ^∞ ((2^x  (x!)^2 )/((2x)! (x)))

$${prove}\:{that} \\ $$$$\mathrm{2}\underset{{x}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{2}^{{x}} \:\left({x}!\right)^{\mathrm{2}} }{\left(\mathrm{2}{x}\right)!\:\left({x}\right)} \\ $$

Commented by M±th+et£s last updated on 29/Mar/20

=π

$$=\pi \\ $$

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