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Question Number 172766 by mathlove last updated on 01/Jul/22

lim_(x→0) ((x!!−(√(2/π)))/(((1/1^2 )+(1/2^2 )+(1/3^3 )+∙∙∙)−Ψ_1 (x+1)))=?  solve this pleas

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{x}!!−\sqrt{\frac{\mathrm{2}}{\pi}}}{\left(\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{3}} }+\centerdot\centerdot\centerdot\right)−\Psi_{\mathrm{1}} \left({x}+\mathrm{1}\right)}=? \\ $$$${solve}\:{this}\:{pleas} \\ $$

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