query: Limit of a floor function.
positive_passages.docid: 143306
positive_passages.text: Limit involving floor function: $\lim\limits_{x\to 0} x \left\lfloor\frac1x \right\rfloor$
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: 46736
negative_passages.text: Limits involving trigonometric functions $f(x)=\lfloor{x^2 \rfloor} \sin^2(\pi x)$
negative_passages.docid: 152262
negative_passages.text: Limit of function of hyperbolic
negative_passages.docid: 36399
negative_passages.text: Find the limit of following
negative_passages.docid: 82837
negative_passages.text: Calculating limit of function
negative_passages.docid: 158395
negative_passages.text: Find $\lfloor {\alpha}^6 \rfloor$
negative_passages.docid: 3974
negative_passages.text: convergence of $\sum_{n=1}^{\infty }\frac{(-1)^{[\sqrt{n}]}}{n}$ where $[a]$ means floor function of $a$
negative_passages.docid: 121160
negative_passages.text: What is the limit of this series?
negative_passages.docid: 13098
negative_passages.text: Find a formula for $\sum\limits_{k=1}^n \lfloor \sqrt{k} \rfloor$
negative_passages.docid: 122093
negative_passages.text: Limit involving cosine function
negative_passages.docid: 140969
negative_passages.text: Limit of square root problem
negative_passages.docid: 78440
negative_passages.text: Challenging $\lim_{x \rightarrow 10} \frac{1}{\lfloor x \rfloor} = \frac{1}{10}$ for $\epsilon=\frac{1}{2}$.
negative_passages.docid: 83863
negative_passages.text: What is the limit of
negative_passages.docid: 73295
negative_passages.text: Limit approaching infinity of sine function
negative_passages.docid: 63023
negative_passages.text: Evaluation of $\lim_{x\rightarrow \infty}\sqrt{x^2+x+1} -\lfloor \sqrt{x^2+x+1 }\rfloor\;,$
negative_passages.docid: 13953
negative_passages.text: Floor function of a product