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Important Threads
		Analysis: $\displaystyle{ \lim_{x \to \infty} \frac{x}{\ln x} \sum_{n=0}^{\infty} \frac{1}{a^n+x}\; (a >1)}$ elim	3	21,976	1 Vote(s) - 4 out of 5 in Average	12-27-2012 12:17 PM Last Post: elim
		Rudin 【Principle of Mathematical Analysis】Notes & Solutions (Pages: 1 2 3 4 ... 34 ) elim	330	952,669	1 Vote(s) - 5 out of 5 in Average	01-27-2015 12:04 PM Last Post: elim
Normal Threads
		$f\in\mathscr{C}^2([0,1])\implies |f\,'|\le{\small\displaystyle\int_0^1} (4|f|+|f\,''|)$ elim	0	77	0 Vote(s) - 0 out of 5 in Average	05-04-2018 04:35 PM Last Post: elim
		A integral with parameter elim	0	1,581	0 Vote(s) - 0 out of 5 in Average	03-26-2010 07:23 AM Last Post: elim
		A limit with double integral elim	0	1,615	0 Vote(s) - 0 out of 5 in Average	03-14-2010 12:46 AM Last Post: elim
		A property with \(f'' > 0, \int_0^1 f = 0\) elim	1	3,821	0 Vote(s) - 0 out of 5 in Average	05-14-2010 11:10 AM Last Post: elim
		A tricky integral elim	2	11,405	0 Vote(s) - 0 out of 5 in Average	12-19-2014 08:45 AM Last Post: elim
		An interesting bijection $\varphi: \mathbb{N}^+ \to \mathbb{Q}^+$ elim	4	12,491	0 Vote(s) - 0 out of 5 in Average	01-02-2013 09:35 AM Last Post: elim
		Calculus of Variations, Euler-Lagrange Equation and Brachistochrone Problem. elim	1	3,000	0 Vote(s) - 0 out of 5 in Average	10-18-2017 12:16 PM Last Post: elim
		Cantor Set elim	0	9,467	0 Vote(s) - 0 out of 5 in Average	10-04-2010 10:08 AM Last Post: elim
		Complex Numbers elim	1	4,955	0 Vote(s) - 0 out of 5 in Average	07-04-2016 05:48 PM Last Post: elim
		Convergence of a series elim	2	11,799	0 Vote(s) - 0 out of 5 in Average	09-04-2012 07:51 PM Last Post: elim
		Determine the convergence of series elim	3	12,158	0 Vote(s) - 0 out of 5 in Average	09-05-2012 10:21 PM Last Post: elim
		Evaluate Series elim	1	10,712	0 Vote(s) - 0 out of 5 in Average	10-08-2010 04:06 PM Last Post: elim
		Evaluate \(\int_0^{\infty}\left(\ln (x^2+1)/(x^2+1) \right)dx\) elim	2	10,916	0 Vote(s) - 0 out of 5 in Average	09-20-2012 06:16 AM Last Post: L.Hartsdale
		Find all $\alpha\in\mathbb{R}$ such that $\forall n\,\exists m\;|\alpha-m/n| < 1/(3n)$ elim	0	588	0 Vote(s) - 0 out of 5 in Average	03-10-2017 03:50 PM Last Post: elim
		Find \( \max\{ \sin^2 A \cos^2 B + \sin^2B \cos^2 C + \sin^2 C \cos^2 A \; \mid \; A,B,C \in \mathbb{R}\}\) elim	0	2,418	0 Vote(s) - 0 out of 5 in Average	05-11-2010 01:58 PM Last Post: elim
		For \( x \in (\pi/4, \pi/2)\), find \(\lim_{n \to \infty} \sqrt[n]{\sin^n x + \cos^n x + \tan^n x}\) elim	0	1,652	0 Vote(s) - 0 out of 5 in Average	04-05-2010 12:22 PM Last Post: elim
		Function equation? elim	0	3,310	0 Vote(s) - 0 out of 5 in Average	08-24-2010 10:41 AM Last Post: elim
		Function limits elim	1	11,111	0 Vote(s) - 0 out of 5 in Average	12-17-2010 02:25 PM Last Post: elim
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