# ᴊ ᴀ s ᴏ ɴ

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I'm deeply impressed by mathematics.

# 2,991 Reputation

15 today
 +10 2 hours ago 2 events Let $n$ be an odd integer greater than 1. Show that one of the numbers $2^1-1,2^2-1,…,2^n-1$ is divisible by $n$. +5 1 hour ago upvote Given the sequence $(x_n)$ is unbounded, show that there exist a subsequence $(x_{n_k})$ such that $\lim(1/x_n)=0$.
12 yesterday
 +10 08:55 2 events Show that for all $a,b,c>0$, $\frac 1 {\sqrt[3]{(a+b)(b+c)(c+a)}}\geq\frac 3 {2(a+b+c)}$. +2 09:02 accept Show that for all $a,b,c>0$, $\frac 1 {\sqrt[3]{(a+b)(b+c)(c+a)}}\geq\frac 3 {2(a+b+c)}$.
75 2 days ago
 +70 10:42 7 events Show that $d/dx (a^x) = a^x\ln a$. +5 12:32 upvote Show that $e^{\pi}>\pi^e$.
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