解答
1. $f(c)$ is defined; 2. $\lim_{x \to c} f(x)$ exists; 3. $\lim_{x \to c} f(x) = f(c)$.
解説
Both one-sided limits $\lim_{x \to c^-} f(x)$ and $\lim_{x \to c^+} f(x)$ must exist and equal each other as well as $f(c)$.
ホーム / ライブラリ / CSAT (Suneung) essentials: original practice / AI単語カード
What is the condition for a function $f(x)$ to be continuous at $x = c$?
デッキ「CSAT (Suneung) essentials: original practice」の単語カード。