query: Prove $\lim_{(x,y)\to (0,0)} \frac{x^2 y^3}{x^4 + y^4} =0$ without $\varepsilon - \delta$.
positive_passages.docid: 13510
positive_passages.text: Multivariable Delta Epsilon Proof $\lim_{(x,y)\to(0,0)}\frac{x^3y^2}{x^4+y^4}$ --- looking for a hint
negative_passages.docid: 64281
negative_passages.text: Computing A Multivariable Limit: $\lim_{(x,y) \to (0,0)}\frac{2x^2y}{x^4 + y^2}.$
negative_passages.docid: 78921
negative_passages.text: Multivariable limit $\lim_{(x,y)\to (0,0)} \frac {x^2 + y^2}{\sqrt{x^2 +y^2 + 1} - 1}$
negative_passages.docid: 115367
negative_passages.text: Limits with cubic root without L’Hopital’s Rule: $\lim_{x\to 1}\frac{\sqrt[3]{x}-1}{x-1} $
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: 133190
negative_passages.text: Calculus - Prove $\lim_{n \to \infty} \frac{x^n}{n!}=0$
negative_passages.docid: 135534
negative_passages.text: Prove that $\lim_{x\to 2}x^2=4$ using $\epsilon-\delta$ definition.
negative_passages.docid: 146827
negative_passages.text: show that $\limsup(\frac{n!}{n^n})=0$
negative_passages.docid: 156011
negative_passages.text: Evaluate $\lim_{y\to 0} \dfrac {(x+y)\sec (x+y) - x\sec x}{y}$
negative_passages.docid: 146640
negative_passages.text: Computing $\lim_{(x,y)\to (0,0)}\frac{x+y}{\sqrt{x^2+y^2}}$
negative_passages.docid: 9918
negative_passages.text: Please verify my epsilon - delta proof $\lim_{x\to 2}⁡(x^3 )=8,$ and $0 < x < 4$
negative_passages.docid: 85269
negative_passages.text: Proof that limit of (lnx)/x = 0 without LHopital
negative_passages.docid: 157577
negative_passages.text: Prove that $\lim_{x\to y} \frac{d(x, F )}{|x−y|} = 0$ for a.e. $y \in F$.
negative_passages.docid: 10749
negative_passages.text: Proving $\lim_{x\to 1} x^3=1$ with $\epsilon$-$\delta$ definition
negative_passages.docid: 39148
negative_passages.text: Does $\lim_{(x,y)\to(0,0)}[x\sin (1/y)+y\sin (1/x)]$ exist?
negative_passages.docid: 968
negative_passages.text: $\lim_{x\to0^{+}} x \ln x$ without l'Hopital's rule
negative_passages.docid: 20956
negative_passages.text: Correct way to prove the limit: $\mathop {\lim }\limits_{x \to 0} {x^\alpha }\int\limits_x^1 {\frac{{f\left( t \right)}}{{{t^{\alpha  + 1}}}}dt} $?