query: A weird infinity problem.
positive_passages.docid: 23883
positive_passages.text: $\infty = -1 $ paradox
negative_passages.docid: 33495
negative_passages.text: A limit problem about $a_{n+1}=a_n+\frac{n}{a_n}$
negative_passages.docid: 101904
negative_passages.text: Why does this limit exist $x^{x}$
negative_passages.docid: 95004
negative_passages.text: Infinite Volume but Finite Surface Area
negative_passages.docid: 2742
negative_passages.text: Is infinity a number?
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: 114003
negative_passages.text: Why is the work done on a charge calculated from infinity?
negative_passages.docid: 20287
negative_passages.text: Convergence Problem.
negative_passages.docid: 127105
negative_passages.text: Determining a tricky limit
negative_passages.docid: 108748
negative_passages.text: Why there are real numbers with infinite digits, but no such natural numbers (or another reason why real numbers are uncountable)
negative_passages.docid: 98377
negative_passages.text: How can I prove this limit doesn't exist?
negative_passages.docid: 30951
negative_passages.text: Confusion with Grounded Conductor: bringing in a point from infinity
negative_passages.docid: 102202
negative_passages.text: The smallest infinity and the axiom of choice
negative_passages.docid: 27260
negative_passages.text: Infinite product with sign changes.
negative_passages.docid: 22423
negative_passages.text: Which infinity is meant in limits?
negative_passages.docid: 27675
negative_passages.text: Polynomials vanishing on an infinite set
negative_passages.docid: 20680
negative_passages.text: Does infinity exist in physical systems?