query: Finding limit of $\frac{x^2y^2}{x^3+y^3}$ as $(x,y)\to (0,0)$
positive_passages.docid: 5478
positive_passages.text: Limit of $\lim_{(x,y)\rightarrow(0,0)}\frac{x^2y^2}{x^3+y^3}$
negative_passages.docid: 155353
negative_passages.text: Find the limit of $ a_n =\left(1+\frac{1^2}{n^2}\right)^1\left(1+\frac{2^2}{n^2}\right)^2\cdots \left(1+\frac{n^2}{n^2}\right)^n$
negative_passages.docid: 19263
negative_passages.text: Limit as $x\to 0$ of $\frac{(1+x)^{1/x}-e}{x}$
negative_passages.docid: 113336
negative_passages.text: Limit of $(\frac{1}{n^2})^{(\frac{1}{n})}$
negative_passages.docid: 19631
negative_passages.text: Finding $\lim_{n\to \infty}\sqrt n \int_0^1 \frac{\,dx}{(1+x^2)^n}$
negative_passages.docid: 56671
negative_passages.text: Find the limit $ \lim_{x \to \infty} \frac{e^{x}}{(1+\frac{1}{x})^{x^{2}}} $
negative_passages.docid: 51231
negative_passages.text: Find the limit of $\frac{n^{x}}{(1 + x)^{n}}$
negative_passages.docid: 45360
negative_passages.text: How to obtain $\lim_{(x,y) \to (0,0)} (x^2·y^3)/(x^4+y^6)$
negative_passages.docid: 36648
negative_passages.text: The limit of $((1+x)^{1/x} - e+ ex/2)/x^2$ as $x\to 0$
negative_passages.docid: 97571
negative_passages.text: Find the limit $ \lim_{n\to \infty} 2^{\frac{1}{n}}$
negative_passages.docid: 64860
negative_passages.text: Evaluation of $\lim\limits_{x\rightarrow0} \frac{\tan(x)-x}{x^3}$
negative_passages.docid: 137963
negative_passages.text: Limit of $\frac{xy-z^2}{x^2+y^2+z^2}$ and $\frac{xy}{x^2+y^2}$ as $(x,y) \to (0,0)$
negative_passages.docid: 135565
negative_passages.text: Limit of $\frac{1}{x^2}-\frac{1}{\sin^2(x)}$ as $x$ approaches $0$
negative_passages.docid: 147506
negative_passages.text: Calculate $\lim\limits_{x\to4} \frac {\sqrt {1+2x}-3} {\sqrt x -2}$
negative_passages.docid: 79785
negative_passages.text: Determining the limit $\lim_{h\to0} \frac{\cos(x+h) - \cos(x)}{(x+h)^{1/2} - x^{1/2}}$
negative_passages.docid: 25772
negative_passages.text: Limit of ${x^{x^x}}$ as $x\to 0^+$
negative_passages.docid: 60878
negative_passages.text: How to prove that $\lim_{(x,y) \to (0,0)} \frac{x^3y}{x^4+y^2} = 0?$