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\[\large \lim_{n \to \infty} \frac{((1+\frac{1}{n})^{n})^{n}}{e^{n}}=?\]

In a football competition, there are 6 teams. Each team plays each other once. The winner of a match gets \(3\) points, the loser \(0\) points, and if there is ...

In triangle \(\triangle ABC\), the reflection of its incenter over side \(AB\) is its circumcenter.

Find the measure of \(\angle C\) in degrees.

Find the ratio of the areas of the smallest square to the largest square.

Note:

-In each quarter circle, the squares inscribed in it are elevated \(45^{\circ}\) from the ...

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