# Two Path Test in case of non-homogeneous functions

I have a doubt about using Two Path Test (for checking the continuity of multi variable functions ) in case of those functions which remain non homogenous even after substituting $y$ in terms of $x$ or vice-versa.

For example:
Even after substituting $y$ in terms of $x$, if $x$ is remaining in numerator or denominator and limit is to be found at $x$ tending to zero, then will it be correct to say that limit tends to $0$ and $\infty$ for both the cases respectively?