Okay so the question is:

Let $\displaystyle f:R^2 \rightarrow R$ by

$\displaystyle f(x) = \frac{x_1^2x_2}{x_1^4+x_2^2}$ for $\displaystyle x \not= 0$

Prove that for each $\displaystyle x \in R$, $\displaystyle f(tx)$ is a continuous function of $\displaystyle t \in R$

([MTEXR[/MTEX is the real numbers, I'm not sure how to get it to look right).

I am letting $\displaystyle t_0 \in R$ and $\displaystyle \epsilon > 0$ then trying to find a $\displaystyle \delta > 0$ so $\displaystyle |f(t) - f(t_0)| < \epsilon$ whenever $\displaystyle |t - t_0| < \delta$ I am stuck trying to find the delta what will work. I start with $\displaystyle |f(t) - f(t_0)|$ and try and simplify but I am not sure how to get to the point where I can determine delta. Any help appreciated.