query: Continuous of square root of e
positive_passages.docid: 1401
positive_passages.text: $\sqrt{7\sqrt{7\sqrt{7\sqrt{7\sqrt{7\cdots}}}}}$ approximation
negative_passages.docid: 131060
negative_passages.text: Is $\sqrt{x}$ uniformly continuous in $\mathbb{R}^+$?
negative_passages.docid: 57180
negative_passages.text: Techniques to prove a function is uniformly continuous
negative_passages.docid: 17223
negative_passages.text: Continuity of an inverse function.
negative_passages.docid: 117419
negative_passages.text: Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
negative_passages.docid: 33330
negative_passages.text: Continuous Functions from $\mathbb{R}$ to $\mathbb{Q}$
negative_passages.docid: 131866
negative_passages.text: Determine whether the function $f(x) = e^x \cos (1/x)$ is uniformly continuous on $A = (0,1)$.
negative_passages.docid: 36227
negative_passages.text: Show continuity or uniform continuity of $\phi: (C([0,1];\Bbb R ),||\cdot||_\infty )\to (\Bbb R, |\cdot | )$
negative_passages.docid: 72044
negative_passages.text: prove $x \mapsto x^2$ is continuous
negative_passages.docid: 75137
negative_passages.text: proving that $f(x) = x^s$ is holder continuous with holder exponent s
negative_passages.docid: 60700
negative_passages.text: Continuity of a function to the integers
negative_passages.docid: 40009
negative_passages.text: Show that $e^{\sqrt 2}$ is irrational
negative_passages.docid: 103536
negative_passages.text: How to prove $|e^{i\theta} - 1| \leq |\theta|$?
negative_passages.docid: 132478
negative_passages.text: Prove that continuous functions mapping irrationals to rationals must be constant
negative_passages.docid: 45276
negative_passages.text: Continuous map on $S^2$
negative_passages.docid: 83873
negative_passages.text: Find $E(|X-Y|^a)$ where $X$ and $Y$ are independent uniform on $(0,1)$
negative_passages.docid: 131992
negative_passages.text: A problem on continuous functions