(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is a subtask. I was given a function, and then asked to convert it to polar coordinates. So I did, and I also determined the limit. However they ask me to do an epsilon-delta proof.

The function is:

[tex]f(x,y)=\frac{x^6 + y^8 + x^4y^5}{x^6 + y^8}[/tex], which converted to polar coordinates should be: [tex]f(rcos\theta, rsin\theta) = 1 + \frac{(rcos\theta)^4 (rsin\theta)^5}{(rcos\theta)^6 + (rsin\theta)^8}[/tex].

2. Relevant equations

[tex]0 < r < \delta \to |f(rcos\theta,rsin\theta) - L| < \epsilon[/tex]

3. The attempt at a solution

I thought that switching to polar coordinates and watch as r approaches zero would be enough? Is this just a straight-forward epsilon-delta proof? I could anyway need some help. I was never good at this.

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# Homework Help: Epsilon-delta proof for function with polar coordinates

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