Which of the following functions satisfy the following conditions?
$\displaystyle \lim_{x\to \pm \infty} f(x)=0$,     $\displaystyle \lim_{x\to 3^-} f(x)= \infty$,     $f(2)=0$,
$\displaystyle \lim_{x\to 0} f(x)= -\infty$,     $\displaystyle \lim_{x\to 3^+} f(x)=-\infty$.

(a) $\displaystyle y=\frac{x-2}{x^2(x-3)}$
(b) $\displaystyle y=\frac{2-x}{x^2(x-3)}$
(c) $\displaystyle y=\frac{2-x}{x^3(x-3)}$