Top network posts

• 119 Continuous projections on $\ell_1$ with norm $>1$
• 83 Relations between p norms
• 57 Proving $\frac{\sin x}{x} =\left(1-\frac{x^2}{\pi^2}\right)\left(1-\frac{x^2}{2^2\pi^2}\right) \left(1-\frac{x^2}{3^2\pi^2}\right)\cdots$
• 32 Evaluating $ \lim\limits_{n\to\infty} \sum_{k=1}^{n^2} \frac{n}{n^2+k^2} $
• 31 How to show that quotient space $X/Y$ is complete when $X$ is Banach space, and $Y$ is a closed subspace of $X$?
• 27 Compute the limit of $\frac1{\sqrt{n}}\left(1^1 \cdot 2^2 \cdot3^3\cdots n^n\right)^{1/n^2}$
• 26 Is it true that $\mathbb{R}$ and $\mathbb{R}^2$ are isomorphic as abelian groups?
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