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lim-a-n-1-a-e-in-ln-1-x-pin-2-tan-1-n-pi-Mastermind-




Question Number 171472 by Mastermind last updated on 15/Jun/22
lim_(a→∞)  Σ_(n=1) ^a ((e^(in) .ln∣(1/x)∣)/(πn^2 )).tan^(−1) (n(√π))    Mastermind
$${li}\underset{{a}\rightarrow\infty} {{m}}\:\underset{{n}=\mathrm{1}} {\overset{{a}} {\sum}}\frac{{e}^{{in}} .{ln}\mid\frac{\mathrm{1}}{{x}}\mid}{\pi{n}^{\mathrm{2}} }.{tan}^{−\mathrm{1}} \left({n}\sqrt{\pi}\right) \\ $$$$ \\ $$$${Mastermind} \\ $$

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