## 1.4 Algebra of Limits (Not Required)

- Any materials in this notes is not required in the scope of the course, but is included for your understanding.

#### Algebra of Limits

- Below are some properties of limits, assuming both \lim _{x \rightarrow a}f(x) and \lim _{x \rightarrow a}g(x) exists:

i) **Sum:**

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

ii) **Difference:**

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

iii) **Multiple:**