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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

I am working with a limit problem that I get that it does not exist but W|A says it does exist and it is equal to zero...

\(\displaystyle \lim_{(x,y)->(0,0)} \frac{xy^4}{x^2+x^8}\)

well I change to polar and get after simplify

\(\displaystyle \lim_{r->0}\frac{r^3\cos(\theta)sin^4(\theta)}{\cos^2( \theta)+r^6\sin^8(\theta)}\)

which say if \(\displaystyle \theta=\frac{\pi}{2}\) we Will get \(\displaystyle \frac{0}{0}\) so it does not exist? I am wrong or?

Regards,

\(\displaystyle |\pi\rangle\)