query: Is $\frac00=\infty$? And what is $\frac10$? Are they same? Does it hold true for any constant $a$ in $\frac{a}0$
positive_passages.docid: 17211
positive_passages.text: Is it wrong to tell children that $1/0 =$ NaN is incorrect, and should be $∞$?
negative_passages.docid: 41515
negative_passages.text: fine the limit : $\lim_{ n \to \infty }\frac{1}{n}\int_{0}^{n}{ \frac{x\ln(1+\frac{x}{n})}{1+x}}=?$
negative_passages.docid: 101027
negative_passages.text: What is the value of lim$_{n\to \infty} a_n$ if $\lim_{n \to \infty}\left|a_n+ 3\left(\frac{n-2}{n}\right)^n \right|^{\frac{1}{n}}=\frac{3}{5}$?
negative_passages.docid: 133386
negative_passages.text: If $f$ is entire and $\lim_\limits{z\to\infty} \frac{f(z)}{z} = 0$ show that $f$ is constant
negative_passages.docid: 15982
negative_passages.text: Limit of $b_n$ when $b_n=\frac{a_n}{n}$ and $\lim\limits_{n\to\infty}(a_{n+1}-a_n)=l$
negative_passages.docid: 63165
negative_passages.text: Is this limit correct: $\lim_{x \to+\infty} \frac{\log_{2}(x-1)}{x} = 0$?
negative_passages.docid: 147608
negative_passages.text: Cauchy principle value of $\int_{-\infty}^{\infty}\sin(x)/(x-a)dx$
negative_passages.docid: 46870
negative_passages.text: How to check if $\sum_{n=1}^\infty \frac 1{n!}$ is converging or diverging by direct comparison test?
negative_passages.docid: 108917
negative_passages.text: Use $\delta-\epsilon$ to show that $\lim_{n\to\infty} a^{\frac{1}{n}} = 1$?
negative_passages.docid: 115514
negative_passages.text: Is the product $\prod_{k=1}^\infty \frac{2^k-1}{2^k}$ necessarily $0$?
negative_passages.docid: 25646
negative_passages.text: What is the result of $\infty - \infty$?
negative_passages.docid: 26338
negative_passages.text: Does $1^{\infty}=e$ or $1^{\infty}=1$?
negative_passages.docid: 18882
negative_passages.text: The limit of infinite product $\prod_{k=1}^{\infty}(1-\frac{1}{2^k})$ is not 0?
negative_passages.docid: 132124
negative_passages.text: $\int_{0}^{\infty}\frac{x}{x^3+1}dx$ =?
negative_passages.docid: 9662
negative_passages.text: For what real values of $a$ does $\sum_{n=1}^{\infty}{(\frac{an}{n +1})^n}$ converge?
negative_passages.docid: 14031
negative_passages.text: Why does the series $\sum_{n=1}^\infty\frac1n$ not converge?
negative_passages.docid: 97007
negative_passages.text: Does $\sum_{m=0}^{\infty} {2m\choose m} \frac{1}{4^{m}} $ converge?