Answer
1. $f(c)$ is defined; 2. $\lim_{x \to c} f(x)$ exists; 3. $\lim_{x \to c} f(x) = f(c)$.
Explanation
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 $f(c)$.
Home / Library / CSAT (Suneung) essentials: original practice / Synthetic flashcard
What is the condition for a function $f(x)$ to be continuous at $x = c$?
Study flashcard from the deck CSAT (Suneung) essentials: original practice.