Question

Continuity of $\begin{cases}(xy+y^2)/(x^4+y^2)&\text{if }(x,y)\neq(0,0),\\0&\text{if }(x,y)=(0,0)\end{cases}$ at origin using polar coordinates

score 902 · Answer 1 · 2018-10-25 01:47:29

902

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Continuity of $\begin{cases}(xy+y^2)/(x^4+y^2)&\text{if }(x,y)\neq(0,0),\\0&\text{if }(x,y)=(0,0)\end{cases}$ at origin using polar coordinates

Published on 25 Oct 2018 - 1:47

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60

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474

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67

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2.4k

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score 87 · Answer 12 · 2026-03-25 16:03:56

87

Views

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127

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237

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List Question

Continuity of $\begin{cases}(xy+y^2)/(x^4+y^2)&\text{if }(x,y)\neq(0,0),\\0&\text{if }(x,y)=(0,0)\end{cases}$ at origin using polar coordinates

Vector geometry proofs

How to express the given disk $D$ in polar coordinates.

Why exactly limit in polar coordinates isn't sufficient to find the limit in two variables?

Integal of ds ==> Integal Integal of r dθ dr

Finding a limit using polar co-ordinates.

Integral equation in polar coodinate system

Why in polar coordinate, $(r,\theta )$ doesn't mean $re_r+\theta e_\theta $?

Proving arc length polar coordinate formula

Evaluate an integral in polar form

Solving a double integration $ \int_{0}^1\int_0^{\sqrt{2y-y^2}}\ dxdy$ using polar coordinates

Evaluating $\iint_D\frac{y}{\sqrt{x^2+y^2}}\ln(x^2+y^2)\,dx\,dy$ using polar transformation

Integral and polar coordinate transformation

Integration in Polar Coordinates Finding Bounds

Equating Coefficients of Cos and Sin

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