query: What is $(-1)^\infty$?
positive_passages.docid: 13018
positive_passages.text: Why is $1^{\infty}$ considered to be an indeterminate form
negative_passages.docid: 125821
negative_passages.text: Evaluating limits at positive and negative infinity
negative_passages.docid: 117039
negative_passages.text: How to show $(1/n!)^{1/n}$ goes to $0$ as $n$ goes to infinity?
negative_passages.docid: 24716
negative_passages.text: $\int_0^\infty\frac{\log x dx}{x^2-1}$ with a hint.
negative_passages.docid: 157336
negative_passages.text: What is the result of $\bigcap_{n=1}^{\infty}{(-1/n; 1/n)}$
negative_passages.docid: 134075
negative_passages.text: Inverse of $A^{-1}+B^{-1}$
negative_passages.docid: 116723
negative_passages.text: Evaluating the sum $\sum_{n=1}^{\infty}\dfrac{(-1)^{n}}{n^{2}}$
negative_passages.docid: 80060
negative_passages.text: Is $\frac{1}{\infty}$  equal zero?
negative_passages.docid: 110526
negative_passages.text: Why is $l^\infty$ not separable?
negative_passages.docid: 156727
negative_passages.text: A step in the proof of Characterization of $W^{1,\infty}$
negative_passages.docid: 72502
negative_passages.text: Evaluate $\sum_{n=1}^\infty nx^{n-1}$
negative_passages.docid: 81240
negative_passages.text: Norm of an inverse operator: $\|T^{-1}\|=\|T\|^{-1}$?
negative_passages.docid: 16967
negative_passages.text: Sum : $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3}$
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: 136444
negative_passages.text: Evaluating $\sum_{n=0}^\infty\frac{(-1)^n}{3n+1}$
negative_passages.docid: 68746
negative_passages.text: What is $f(f^{-1}(A))$?
negative_passages.docid: 31889
negative_passages.text: The limit as $n$ approaches infinity of $n(a^{1/n}-1)$