query: What is $\lim_{x \rightarrow 0} x\log(x)$?
positive_passages.docid: 145043
positive_passages.text: How do I calculate $\lim_{x\rightarrow 0} x\ln x$
negative_passages.docid: 104227
negative_passages.text: How to obtain the limit of $xy\log(x^2+y^2)$ when $(x,y)\to(0,0)$ without using polar coordinates or L'Hôpital?
negative_passages.docid: 99526
negative_passages.text: Is $\lim\limits_{n\rightarrow\infty} n$ comparable to $\aleph_0$?
negative_passages.docid: 569
negative_passages.text: How do I determine $\lim_{x\to\infty} \left[x - x^{2} \log\left(1 + 1/x\right)\right]$?
negative_passages.docid: 43703
negative_passages.text: Find $\lim _{x\to \infty }\left(x\left(\ln\left(x+1\right)-\ln x\right)\right) $
negative_passages.docid: 45806
negative_passages.text: Finding $\lim\limits_{n \rightarrow \infty}\left(\int_0^1(f(x))^n\,\mathrm dx\right)^\frac{1}{n}$ for continuous $f:[0,1]\to[0,\infty)$
negative_passages.docid: 155377
negative_passages.text: How can I calculate this limit: $\lim\limits_{x\to 0} x\left\lfloor\frac{1}{x}\right\rfloor$?
negative_passages.docid: 152860
negative_passages.text: How to evalute $\int_{0}^{1}\frac{x\log x}{\log(1-x)}dx$
negative_passages.docid: 155539
negative_passages.text: Evaluating the limit $\lim_{x \to 0+}\left(\frac{1}{x}-\frac{1}{\arctan(x)}\right)$
negative_passages.docid: 94466
negative_passages.text: evaluating the limit $ \lim_{(x,y) \rightarrow (0,0) } \frac{x^2y^2}{x^2 + y^2} $
negative_passages.docid: 52154
negative_passages.text: Log-like operator with math inside (e.g. p-lim)
negative_passages.docid: 6821
negative_passages.text: Proof that Limit of the Log is the Log of the Limit
negative_passages.docid: 49497
negative_passages.text: $\lim a_n = 0$ if $\left|\frac{a_{n +1}}{a_n}\right|\to L < 1$
negative_passages.docid: 95991
negative_passages.text: How to solve $\lim_{x \rightarrow 0} {\frac{(1+x)^a-1}{x}}$?
negative_passages.docid: 28669
negative_passages.text: Find limit of the following sequence: $\frac{\log(n+1)}{\log(n)}$?
negative_passages.docid: 32744
negative_passages.text: A clarification in a limit
negative_passages.docid: 106742
negative_passages.text: Evaluating $ \lim_{x \rightarrow 0}\left (\frac{\sin(x)}{x}\right)^\frac{1}{x^2}$