For a real number $a$, let $f ( a )$ be the number of elements in the set $$\left\{ x \mid a x ^ { 2 } + 2 ( a - 2 ) x - ( a - 2 ) = 0 , x \text { is a real number } \right\}$$ Which of the following statements in are correct? [3 points] Remarks ᄀ. $\lim _ { a \rightarrow 0 } f ( a ) = f ( 0 )$ ㄴ. There are 2 real numbers $c$ such that $\lim _ { a \rightarrow c + 0 } f ( a ) \neq \lim _ { a \rightarrow c - 0 } f ( a )$. ㄷ. The function $f ( a )$ is discontinuous at 3 points. (1) ᄂ (2) ᄃ (3) ᄀ, ᄂ (4) ㄴ,ㄷ (5) ᄀ, ᄂ, ᄃ
For a real number $a$, let $f ( a )$ be the number of elements in the set
$$\left\{ x \mid a x ^ { 2 } + 2 ( a - 2 ) x - ( a - 2 ) = 0 , x \text { is a real number } \right\}$$
Which of the following statements in <Remarks> are correct? [3 points]
\textbf{Remarks}\\
ᄀ. $\lim _ { a \rightarrow 0 } f ( a ) = f ( 0 )$\\
ㄴ. There are 2 real numbers $c$ such that $\lim _ { a \rightarrow c + 0 } f ( a ) \neq \lim _ { a \rightarrow c - 0 } f ( a )$.\\
ㄷ. The function $f ( a )$ is discontinuous at 3 points.\\
(1) ᄂ\\
(2) ᄃ\\
(3) ᄀ, ᄂ\\
(4) ㄴ,ㄷ\\
(5) ᄀ, ᄂ, ᄃ