query: Is a limit a function? What about the derivative and the integral?
positive_passages.docid: 147199
positive_passages.text: What kind of "mathematical object" are limits?
negative_passages.docid: 25592
negative_passages.text: If a derivative of a continuous function has a limit, must it agree with that limit?
negative_passages.docid: 20764
negative_passages.text: Is it true that $\lim\limits_{x\to\infty}{x·P[X>x]}=0$?
negative_passages.docid: 119602
negative_passages.text: $f:\mathbb{R} \to \mathbb{R}$ be differentiable and $\lim\limits_{x\to\infty}f'(x)=1$, is $f(x)$ unbounded?
negative_passages.docid: 33486
negative_passages.text: Negation of the Definition of Limit of a Function
negative_passages.docid: 5402
negative_passages.text: Prove or the disprove the existence of a limit of integrals
negative_passages.docid: 67364
negative_passages.text: If $\lim_{x\to\infty}(f(x)+f'(x))=L$ show that $\lim_{x\to\infty} f(x) = L$ and $\lim_{x\to\infty} f'(x) = 0$
negative_passages.docid: 107367
negative_passages.text: Why does the definition of a limit of a function not appear in textbooks on general topology?
negative_passages.docid: 36994
negative_passages.text: Finding the limit of a 2-dimensional function
negative_passages.docid: 36358
negative_passages.text: How prove that $\lim\limits_{x\to+\infty}f(x)=\lim\limits_{x\to+\infty}f'(x)=0$ if $\lim\limits_{x\to+\infty}([f'(x)]^2+f^3(x))=0$?
negative_passages.docid: 116622
negative_passages.text: What's the "limit" in the definition of Riemann integrals?
negative_passages.docid: 22989
negative_passages.text: A doubt on the definition of limit of a function definition
negative_passages.docid: 143874
negative_passages.text: Limit of derivative is zero. Does it imply a limit for f(x)?
negative_passages.docid: 49511
negative_passages.text: Do we have $\lim_{h\to 0^+}\int_0^\infty|f(t+h)-f(t)|dt=0$?
negative_passages.docid: 138930
negative_passages.text: What does $\lim\limits_{x \to \infty} f(x) = 1$ say about $\lim\limits_{x \to \infty} f'(x)$?
negative_passages.docid: 73812
negative_passages.text: Does $\lim \limits_ {n\to \infty}\ \frac{n}{n+1}$ equal $1$?
negative_passages.docid: 50472
negative_passages.text: If monotone decreasing and $\int_0^\infty f(x)dx <\infty$ then $\lim\limits_{x\to\infty} xf(x)=0.$