## Calculus (3rd Edition)

$g(t)$ is discontinuous at $t=0$. The discontinuity here is infinite.
Since the $t^{-2/3}$ is not defined at $t=0$ (division by zero), the function $$f(t)=3t^{-2/3}-9t^3$$ is discontinuous at $t=0$. The discontinuity here is infinite.