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What are the laws of limits in mathematics?
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LIMIT LAWS Suppose $c$ is a constant and the limits $\lim _{x \rightarrow a} f(x)$ and $\lim _{x \rightarrow a} g(x)$ exist, then:

1. $\lim _{x \rightarrow a}[f(x)+g(x)]=\lim _{x \rightarrow a} f(x)+\lim _{x \rightarrow a} g(x)$

2. $\lim _{x \rightarrow a}[f(x)-g(x)]=\lim _{x \rightarrow a} f(x)-\lim _{x \rightarrow a} g(x)$

3. $\lim _{x \rightarrow a}[c f(x)]=c \lim _{x \rightarrow a} f(x)$

4. $\lim _{x \rightarrow a}[f(x) g(x)]=\lim _{x \rightarrow a} f(x) \cdot \lim _{x \rightarrow a} g(x)$
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