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| 미적분:극한 [2025/09/27 18:36] – masteraccount | 미적분:극한 [2025/09/27 18:37] (current) – [극한의 주요 정리] masteraccount | ||
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| \begin{aligned} | \begin{aligned} | ||
| \text{1. } & \lim_{x \to c} k = k \\ | \text{1. } & \lim_{x \to c} k = k \\ | ||
| + | \\ | ||
| \text{2. } & \lim_{x \to c} x = c \\ | \text{2. } & \lim_{x \to c} x = c \\ | ||
| + | \\ | ||
| \text{3. } & \lim_{x \to c} k f(x) = k \lim_{x \to c} f(x) \\ | \text{3. } & \lim_{x \to c} k f(x) = k \lim_{x \to c} f(x) \\ | ||
| + | \\ | ||
| \text{4. } & \lim_{x \to c} [f(x) + g(x)] = \lim_{x \to c} f(x) + \lim_{x \to c} g(x) \\ | \text{4. } & \lim_{x \to c} [f(x) + g(x)] = \lim_{x \to c} f(x) + \lim_{x \to c} g(x) \\ | ||
| + | \\ | ||
| \text{5. } & \lim_{x \to c} [f(x) - g(x)] = \lim_{x \to c} f(x) - \lim_{x \to c} g(x) \\ | \text{5. } & \lim_{x \to c} [f(x) - g(x)] = \lim_{x \to c} f(x) - \lim_{x \to c} g(x) \\ | ||
| + | \\ | ||
| \text{6. } & \lim_{x \to c} [f(x) \cdot g(x)] = \left[\lim_{x \to c} f(x)\right] \cdot \left[\lim_{x \to c} g(x)\right] \\ | \text{6. } & \lim_{x \to c} [f(x) \cdot g(x)] = \left[\lim_{x \to c} f(x)\right] \cdot \left[\lim_{x \to c} g(x)\right] \\ | ||
| + | \\ | ||
| \text{7. } & \lim_{x \to c} \frac{f(x)}{g(x)} = \frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)}, \quad \lim_{x \to c} g(x) \neq 0 \\ | \text{7. } & \lim_{x \to c} \frac{f(x)}{g(x)} = \frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)}, \quad \lim_{x \to c} g(x) \neq 0 \\ | ||
| + | \\ | ||
| \text{8. } & \lim_{x \to c} [f(x)]^n = \left[\lim_{x \to c} f(x)\right]^n \\ | \text{8. } & \lim_{x \to c} [f(x)]^n = \left[\lim_{x \to c} f(x)\right]^n \\ | ||
| + | \\ | ||
| \text{9. } & \lim_{x \to c} \sqrt[n]{f(x)} = \sqrt[n]{\lim_{x \to c} f(x)}, \quad n=2m \text{이면 } \lim_{x \to c} f(x) > 0 | \text{9. } & \lim_{x \to c} \sqrt[n]{f(x)} = \sqrt[n]{\lim_{x \to c} f(x)}, \quad n=2m \text{이면 } \lim_{x \to c} f(x) > 0 | ||
| + | \\ | ||
| \end{aligned} | \end{aligned} | ||
| $$ | $$ | ||