1. \(\lim\limits_{x \to a} k = k\)
2. \(\lim\limits_{x \to a} x = a\)
3. \(\lim\limits_{x \to a} k{\kern 1pt} f(x) = \mathop {k\lim }\limits_{x \to a} f(x)\) |
4. \(\lim\limits_{x \to a} {\kern 1pt} \left[ {f(x) \pm g(x)} \right] = \lim\limits_{x \to a} f(x) + \lim\limits_{x \to a} g(x)\)
5. \(\lim\limits_{x \to a} {\kern 1pt} \left[ {f(x) \cdot g(x)} \right] = \lim\limits_{x \to a} f(x) \cdot \lim\limits_{x \to a} g(x)\)
6. \(\lim\limits_{x \to a} {\kern 1pt} \left[ {\frac{{f(x)}}{{g(x)}}} \right] = \frac{{\lim \limits_{x \to a} f(x)}}{{\lim\limits_{x \to a} g(x)}}\) \(\left( {\lim\limits_{x \to a} g(x) \ne 0} \right)\) |
