/sci/ - Science & Math

If I excavate the rest of these things, where do you want me to host the files?

>>11043928

[math]
\boxed{
\text{Let }A=\{(x,y):0\leq x,y<1\}\text{. For }(x,y)\in A\text{, let}
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~~~\quad \qquad \qquad S(x,y) = \sum_{\frac{1}{2}\leq \frac{m}{n}\leq 2} x^m y^n\text{,}
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\text{where the sum ranges over all pairs }(m,n)\text{ of positive}
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\text{integers satisfying the indicated inequalities. Evaluate}
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\qquad \lim_{(x,y)\rightarrow (1,1), (x,y)\in A} (1-xy^2)(1-x^2y)S(x,y).
}
[/math]