Let $f: \mathbb{R} ightarrow \mathbb{R} $ be a function differentiable twice at $x_{0}=-2$ and such that $f(-2)=f^{\prime} (-2)=0$. Which of the following statements is true? Select one or more: a. None of the others are true. b. $f(x)=o\left((x+2)^{3} ight) $ as $x ightarrow-2$. c. $f(x)=o\left((x+2)^{2} ight)$ as $x ightarrow-2$. d. $\lim _{x ightarrow-2} \frac{f(x)}{(x+2)^{2}} \in \mathbb{R}$. e. $f$ attains a minimum or maximum value locally at $x=-2$. f. $f(x)=0(x+2)$ as $x ightarrow-2$. CS.VS. 1365