ONUS: Limit Computation: Evaluating xy/(x^2+y^2) at Origin

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Homework Help Overview

The discussion revolves around the computation of a limit involving the expression xy/(x^2+y^2) as (x,y) approaches the origin. The original poster seeks to evaluate this limit along various paths, including a spiral, a differentiable curve, and a specific arc.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants suggest converting the expression to polar coordinates as a potential approach. There are inquiries about whether the original poster has made any progress on the problem, indicating a focus on the clarity of initial steps.

Discussion Status

The discussion appears to have shifted towards a more productive direction, with the original poster indicating they found a solution after considering polar coordinates. However, there is no explicit consensus on the limit itself or the methods used to evaluate it.

Contextual Notes

The original poster's initial confusion and subsequent resolution suggest that there may have been assumptions or misunderstandings about the limit computation process that were clarified through discussion.

brad sue
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Hi ,
I have difficulty to find the folowing questions about limit computation.
IF lim xy/(x^2+y^2) ( when (x,y)---(0,0))
Evaluate the limit as (x,y) approaches the origin along:
a) The spiral r=0, θ >0
b) The differentiable curve y=f(x), with f(0)=0
c) The arc r=sin(θ )
Thank you
B
 
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brad sue said:
Hi ,
I have difficulty to find the folowing questions about limit computation.
IF lim xy/(x^2+y^2) ( when (x,y)---(0,0))
Evaluate the limit as (x,y) approaches the origin along:
a) The spiral r=0, θ >0
b) The differentiable curve y=f(x), with f(0)=0
c) The arc r=sin(θ )
Thank you
B

ANy help please?
 
Have you tried converting your expression to polar?
 
Have you yet done any work on the problem? There should be at least one thing you can do that is very clear...
 
Hurkyl said:
Have you yet done any work on the problem? There should be at least one thing you can do that is very clear...

Sorry I found out with the polar coordinates.I am ok now Sorry about everything.

B
 

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