query: Limit $\lim_{(x,y)\rightarrow (0,0)}\frac{xy^3}{x^2+y^4}$
positive_passages.docid: 13249
positive_passages.text: Multivariable limit proof: $\lim\limits_{(x,y)\rightarrow (0,0)}\frac{\left|x\right|^a\left|y\right|^b}{\left|x\right|^c + \left|y\right|^d} = 0$
negative_passages.docid: 145913
negative_passages.text: Find $\lim_{x\rightarrow 0} \frac{\cos x - 1}{x}$
negative_passages.docid: 150200
negative_passages.text: finding $\lim_{n\rightarrow\infty}\sum_{r=1}^{n}\arctan\left(\frac{2r}{1-r^2+r^4}\right)$
negative_passages.docid: 55654
negative_passages.text: Limit of $\frac{x^y-y^x}{x^x-y^y} $ while $x\to y$
negative_passages.docid: 769
negative_passages.text: Find multivariable limit $\frac{x^2y}{x^2+y^3}$
negative_passages.docid: 5157
negative_passages.text: How to evaluate $ \lim_{(x,y)\to(0,0)}\frac{y^2\sin^2x}{x^4+y^4} $
negative_passages.docid: 113537
negative_passages.text: Limit $\lim_{n\to\infty}\left(1-\frac{1}{3}\right)^2\left(1-\frac{1}{6}\right)^2\cdots\left(1-\frac{1}{\frac{n(n+1)}{2}}\right)^2$
negative_passages.docid: 31146
negative_passages.text: Does the limit $\lim_{(x,y)\to (0,0)} \frac {x^3y^2}{x^4+y^6}$ exist
negative_passages.docid: 129011
negative_passages.text: Is there limit $ \lim_{(x,y) \to (0,0)} \frac{x^3}{x^2 + y^2}$?
negative_passages.docid: 107953
negative_passages.text: Limit of the sequence $\lim_{n\rightarrow\infty}\sqrt[n]n$
negative_passages.docid: 95991
negative_passages.text: How to solve $\lim_{x \rightarrow 0} {\frac{(1+x)^a-1}{x}}$?
negative_passages.docid: 125667
negative_passages.text: Limit of a function of two variables
negative_passages.docid: 50398
negative_passages.text: Limit $\lim\limits_{n\to\infty}\left(\frac{n}{n^2+1}+\frac{n}{n^2+2}+\frac{n}{n^2+3}+\cdots+\frac{n}{n^2+n}\right)$
negative_passages.docid: 12375
negative_passages.text: Prove $\lim_{(x,y) \to (0,0)} \frac{x^3y}{x^4+y^2} = 0$
negative_passages.docid: 93155
negative_passages.text: Evaluate $\mathop {\lim }\limits_{x \to 0} \left( {{1 \over {{{\sin }^2}x}} - {1 \over {{x^2}}}} \right)$
negative_passages.docid: 154605
negative_passages.text: How to compute $\lim\limits_{n\rightarrow \infty} \{(2+\sqrt{3})^{n}\}$, where $\{x\}$ is the fractional part of $x$?
negative_passages.docid: 45537
negative_passages.text: Finding the limit $\lim_{x\rightarrow \infty} \sqrt[3]{x+1}-\sqrt[3]{x}$