query: $\displaystyle \lim_{p \to \infty} \lVert x \rVert _p = \lVert x \rVert _{\infty}$ is uniform in $x$?
positive_passages.docid: 23677
positive_passages.text: "Scaled $L^p$ norm" and geometric mean
negative_passages.docid: 154229
negative_passages.text: Convergence to a Uniform Distribution
negative_passages.docid: 41173
negative_passages.text: If $f\in S_\infty$ and $\int_{\mathbb{R}}x^pf(x)d\mu=0$ for all $p\in\mathbb{N}$ then $f\equiv 0$?
negative_passages.docid: 8503
negative_passages.text: Limit of $L^p$ norm when $p\to0$
negative_passages.docid: 33610
negative_passages.text: Evaluate $\displaystyle \lim_{n\to \infty}\sqrt[n]{n!}$
negative_passages.docid: 101630
negative_passages.text: Limit $\lim_{n\to\infty}\sqrt n(\sqrt[n]x-1)$
negative_passages.docid: 41057
negative_passages.text: Does $L^p$-convergence imply pointwise convergence for $C_0^\infty$ functions?
negative_passages.docid: 13732
negative_passages.text: $||f||_p\to ||f||_\infty$ under general assumptions
negative_passages.docid: 44095
negative_passages.text: Prove that $\lim_{x\to \infty}\left(x-\ln\cosh x\right)=\ln 2$
negative_passages.docid: 88792
negative_passages.text: Convergence of $\int_0^\infty $sin$ (x^p) dx$
negative_passages.docid: 49012
negative_passages.text: How to evaluate $\lim_{x \to \infty}\left(\sqrt{x+\sqrt{x}}-\sqrt{x-\sqrt{x}}\right)$?
negative_passages.docid: 149296
negative_passages.text: Is it trivial to say $\mathop {\lim }\limits_{n \to \infty } {(1 + {k \over n})^n} = e^{k}$
negative_passages.docid: 25206
negative_passages.text: How to prove that $\lim\limits_{n\to \infty}a_{n+1}=\lim\limits_{n\to \infty}a_{n}$
negative_passages.docid: 73812
negative_passages.text: Does $\lim \limits_ {n\to \infty}\ \frac{n}{n+1}$ equal $1$?
negative_passages.docid: 89421
negative_passages.text: Does $\int_{1}^{\infty} g(x)\ dx$ imply $\lim\limits_{x\to \infty}g(x)=0$?
negative_passages.docid: 77322
negative_passages.text: Uniform continuity of $\sin(x\sin x )$ for all $x\in (0,\infty)$
negative_passages.docid: 10562
negative_passages.text: Will $\sum^{\infty}_{n=1}|a_n|^p$ converge?