RE: relation between repeated limit & double limit

[rohan saxena]

To determine the limit of (x^3 + y^3)/(x + y^2) at x,y->0,0

We use y=mx and limit comes out to be 0.

How do we justify the limit using delta-epsilon method??

Sent from my Windows Phone

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From: Sarita Math
Sent: 23-09-2012 10:53
To: tutori...@googlegroups.com
Subject: Re: relation between repeated limit & double limit

Anuja, Whatever you are saying that is for Cartesian coordinate i.e. equating the double derivative to 0. But for polar, in the class, we have introduced the variable u=1/r and also, I told that, to check convexity or concavity in polar coordinate, we have to check the sign of the term 

and point of inflexion lie on the curve by equating this term to 0.

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