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find-lim-n-1-i-lt-j-n-x-i-j-with-x-lt-1-




Question Number 30409 by abdo imad last updated on 22/Feb/18
find lim_(n→∞)   Σ_(1≤i<j≤n)   x^(i+j)   .with ∣x∣<1  .
$${find}\:{lim}_{{n}\rightarrow\infty} \:\:\sum_{\mathrm{1}\leqslant{i}<{j}\leqslant{n}} \:\:{x}^{{i}+{j}} \:\:.{with}\:\mid{x}\mid<\mathrm{1}\:\:. \\ $$

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