query: How to find $\lim \dfrac{4xy^2}{x^2+y^2}$?
positive_passages.docid: 143375
positive_passages.text: Showing that $\lim_{(x,y) \to (0, 0)}\frac{xy^2}{x^2+y^2} = 0$
negative_passages.docid: 17799
negative_passages.text: Find $\lim_{x\to 1}\frac{p}{1-x^p}-\frac{q}{1-x^q}$
negative_passages.docid: 119469
negative_passages.text: Find the limit of $\lim\limits_{(x,y)\to (0,0)} \frac{x^2y^2}{x^2y^2+(x-y)^2}$
negative_passages.docid: 569
negative_passages.text: How do I determine $\lim_{x\to\infty} \left[x - x^{2} \log\left(1 + 1/x\right)\right]$?
negative_passages.docid: 36399
negative_passages.text: Find the limit of following
negative_passages.docid: 104227
negative_passages.text: How to obtain the limit of $xy\log(x^2+y^2)$ when $(x,y)\to(0,0)$ without using polar coordinates or L'Hôpital?
negative_passages.docid: 7868
negative_passages.text: Computing limit of $(1+1/n)^{n^2}$
negative_passages.docid: 124699
negative_passages.text: How to calculate $\lim_{n \to \infty}\sqrt[n]{\frac{2^n+3^n}{3^n+4^n}}$
negative_passages.docid: 123970
negative_passages.text: Find $L=\lim \limits_{n\to \infty}\sqrt[n]{x^n+y^n+z^n}$
negative_passages.docid: 136450
negative_passages.text: Compute $\lim_{x \rightarrow +\infty} \frac{[\int^x_0 e^{y^{2}} dy]^2}{\int^x_0 e^{2y^{2}}dy}$
negative_passages.docid: 99752
negative_passages.text: how does one solve $\lim_{n\to \infty} (\frac{n^{2}-2n+1}{n^{2}-4n+2})^{n}$
negative_passages.docid: 94466
negative_passages.text: evaluating the limit $ \lim_{(x,y) \rightarrow (0,0) } \frac{x^2y^2}{x^2 + y^2} $
negative_passages.docid: 137919
negative_passages.text: How do I find $\lim_{(x,y) \to (0,0)} \frac{\sqrt{xy + 1} -1}{x + y}$?
negative_passages.docid: 109699
negative_passages.text: How to factor$ x^2+2xy+y^2 $
negative_passages.docid: 48935
negative_passages.text: Showing $\lim_{(x,y) \to (0,0)} xy \log(x^2+y^2) = 0$
negative_passages.docid: 135159
negative_passages.text: Limits using L'Hopital's rule $\lim_{x\to0^+} (x^{x^x-1})$
negative_passages.docid: 89251
negative_passages.text: Limit $\lim\limits_{x\to0}{\frac{\ln{(e+x)}-e^x}{\cos^2{x} -e^x}}$