query: Showing that $\sin(x^2)$ is not uniformly continuous
positive_passages.docid: 155170
positive_passages.text: Proving $\sin(x^2)$ Continuous but Not Uniformly Continuous with non-standard Definition
negative_passages.docid: 26541
negative_passages.text: Is $\sum_{n=1}^{\infty}{\frac{\sin(nx)}n}$ continuous?
negative_passages.docid: 101701
negative_passages.text: Prove that $\ln x$ is not uniformly continuous on $(0,1]$
negative_passages.docid: 88259
negative_passages.text: prove that $\frac{1}{x}$ is not uniformly continuous on $(0,1)$
negative_passages.docid: 74145
negative_passages.text: How to prove $x^{n}$ is not uniformly continuous
negative_passages.docid: 51514
negative_passages.text: Is $n \sin n$ dense on the real line?
negative_passages.docid: 65346
negative_passages.text: Characterisation of uniformly continuous function
negative_passages.docid: 150770
negative_passages.text: Why is $f^n(\xi(x))$ continuous over $x$?
negative_passages.docid: 16642
negative_passages.text: Showing $a_n=\sin(n)$ does not converge
negative_passages.docid: 117419
negative_passages.text: Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
negative_passages.docid: 2348
negative_passages.text: Show that the sphere, S, and $\mathbb{R}^2$ is not homeomorphic
negative_passages.docid: 129856
negative_passages.text: Show that $f(x)=\frac{x}{1+|x|}$ is uniformly continuous.
negative_passages.docid: 77322
negative_passages.text: Uniform continuity of $\sin(x\sin x )$ for all $x\in (0,\infty)$
negative_passages.docid: 141223
negative_passages.text: $f(x^2) = 2f(x)$ and $f(x)$ continuous
negative_passages.docid: 97553
negative_passages.text: Continuity of $\frac{2xy}{x^2+y^2}$ at $(0,0)$
negative_passages.docid: 97213
negative_passages.text: Why does $\sin(0)$ exist?
negative_passages.docid: 23294
negative_passages.text: Show that the function $f = \frac{xy}{x^2 + y^2}$ is continuous along every horizontal and every vertical line