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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

\(\displaystyle \lim_{(x,y)->(0,0)} \frac{6x^3y}{2x^4+x^4}\)

I did easy solve that the limit do not exist by \(\displaystyle (0,t)=0\), \(\displaystyle (t,0)=0\), \(\displaystyle (t,t)=\frac{6}{3}\)

but I wanted Also to solve this by polar cordinate so we got

\(\displaystyle \lim_{r->0}\frac{6\cos(\theta)\sin(\theta)}{2\cos(\theta)+ \sin(\theta)}\)

so My question is what can I say to show this limit Will never exist.

My argument: the top Will never be same for \(\displaystyle \theta\) and bottom Will never be equal to zero. So the limit does not exist and this does not sound like a argument for me..

Regards,

\(\displaystyle |\pi\rangle\)