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Zarrax

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89
Can I use my powers for good?
math.stackexchange.com

89
How to get a reflection vector?
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80
Proof of $\int_0^\infty \left(\frac{\sin x}{x}\right)^2 \mathrm dx=\frac{\pi}{2}.$
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77
Limits: How to evaluate $\lim\limits_{x\rightarrow \infty}\sqrt[n]{x^{n}+a_{n-1}x^{n-1}+\cdots+a_{0}}-x$
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71
Why are most of the top universities American?
academia.stackexchange.com

61
Evaluation of Gaussian integral $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx$
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54
Proof that a Combination is an integer
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53
Parametric Equation of a Circle in 3D Space?
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50
What is the chance to get a parking ticket in half an hour if the chance to get a ticket is 80% in 1 hour?
math.stackexchange.com

43
Is there a bounded function $f$ with $f'$ unbounded and $f''$ bounded?
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42
Is there a continuous bijection from $\mathbb{R}$ to $\mathbb{R}^2$
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40
Does the series $\sum\limits_{n=1}^{\infty}\frac{\sin(n-\sqrt{n^2+n})}{n}$ converge?
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37
Is it common for prestigious universities to contact you after you drop out to see whether you wish to enroll again before a deadline?
academia.stackexchange.com

37
Prove that $C e^x$ is the only set of functions for which $f(x) = f'(x)$
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35
Accessible proof of Carleson's $L^2$ theorem
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33
Continuity of the function $x\mapsto d(x,A)$ on a metric space
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33
Why isn't there a uniform probability distribution over the positive real numbers?
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32
Prove $x = \sqrt[100]{\sqrt{3} + \sqrt{2}} + \sqrt[100]{\sqrt{3} - \sqrt{2}}$ is irrational
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31
Why is $\int_{0}^{\infty} \frac {\ln x}{1+x^2} \mathrm{d}x =0$?
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30
on the boundary of analytic functions
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28
Probability that a quadratic polynomial with random coefficients has real roots
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27
Entire one-to-one functions are linear
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25
Showing that $\int\limits_{-a}^a \frac{f(x)}{1+e^{x}} \mathrm dx = \int\limits_0^a f(x) \mathrm dx$, when $f$ is even
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24
Show that 13 divides $2^{70}+3^{70}$
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24
Olympiad Inequality Problem
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22
Editor rejected my paper stating that reviewers had refused to review it long after submission; How can I understand what is wrong with my paper?
academia.stackexchange.com

22
Limit evaluation: very tough question, cannot use L'hopitals rule
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21
$\int_0^\infty ne^{-nx}\sin\left(\frac1{x}\right)\;dx\to ?$ as $n\to\infty$
math.stackexchange.com

21
Computing $999,999\cdot 222,222 + 333,333\cdot 333,334$ by hand.
math.stackexchange.com

18
Suppose $(a_n)$ is a sequence such that $a_n=\frac{1!+2!+\cdots+n!}{n!}$. Show that $\lim{a_n}=1$
math.stackexchange.com

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