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\(1!\) is divisible by 1 \(2!\) is divisible by 2 \(3!\) is divisible by 3 \(4!\) is divisible by 4 \(5!\) is divisible by 5

\(1!\) is divisible by 1

\(2!\) is divisible by 2

\(3!\) is divisible by 3

\(4!\) is divisible by 4

\(5!\) is divisible by 5

Is it true that ...

What's the output of the above Python code?

Clarification: The code above is in Python 3

\[\large{\displaystyle \lim_{x,y \to( 0,0)}\frac{xy}{x^2+y^2}=\, ? }\]

If \(a,b,c > 0\) and \(a+b+c=3\), find the minimum value of ...

\[ \large \prod_{n=1}^\infty \sqrt[(4n^2-2n)]{e}= ?\]

Note: If you do not think the above product converges, enter \(42\) as your answer.

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