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홈 / 라이브러리 / CSAT (Suneung) essentials: original practice / AI 플래시카드

What is the condition for a function $f(x)$ to be continuous at $x = c$?

덱 'CSAT (Suneung) essentials: original practice'의 플래시카드.

정답

1. $f(c)$ is defined; 2. $\lim_{x \to c} f(x)$ exists; 3. $\lim_{x \to c} f(x) = f(c)$.

해설

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 $f(c)$.

AI 생성 콘텐츠 · 감수: Ada