`DirectedInfinity[`

`z`]- represents an infinite multiple of the complex number
`z`. `DirectedInfinity[]`

- is the same as
`ComplexInfinity`

.

`DirectedInfinity[1]`

`DirectedInfinity[]`

`DirectedInfinity[1 + I]`

`1 / DirectedInfinity[1 + I]`

`DirectedInfinity[1] + DirectedInfinity[-1]`