Infinity

analysis

Rules

Addition of Infinity

$$\forall a:\infty +a=a+\infty =\infty$$

Multiplication by zero

$$0\cdot \infty =\text{undefined}$$

Multiplication by Infinity

$$\forall a\ne 0:a\cdot \infty =\infty \cdot a=\infty$$

Division by Infinity

$$\forall a:\frac{a}{\infty }=0$$