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Kirk Fox's user avatar
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Kirk Fox
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I am currently a high school student. My main educational focuses are mathematics and computer programming. During my free time, I investigate mathematical ideas that interest me. I aim to use this site to help me develop my mathematical reasoning skills and hopefully help others in the process.

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Referring to a verb earlier in the sentence
Dec 3, 2022
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17
Is the sum of digits of $\left(16^k - 1\right)$ less than $6k$ for $k > 223$?
12
What is $\lim_{x\to1^{-}} (1-x)\left(\sum_{i=0}^{\infty} x^{i^2}\right)^{2}$?
12
Why are $\lfloor\zeta(\zeta(n))\rfloor$,$\left\lfloor\frac{1}{\zeta(n)-1}\right\rceil$, and $\lceil\Gamma(\zeta(n)-1)\rceil$ so similar?
11
What is the limit of the average value of the first $n$ terms of $(1, 2, 1, 1, 1, 2, 1, 1, 2, 1, ...)$ as $n\to\infty$?
10
How to evaluate $\int_{0}^{\infty} \int_{0}^{\infty} \frac{\sin(x) \sin(y) \sin(x+y)}{x y(x+y)} ~{\rm d}x ~{\rm d}y$?