Question

What is the limit of `(1 + sqrt3(x))(4 - 2 x^2 + x^3)` as x approaches 8?

Answer 1

`388+3104sqrt(3)~~5764.285708`

Explanation:

With this limit we can simply plug in `x=8`:

`(1+sqrt(3)(8))(4-2(8)^2+(8)^3)`

`(1+sqrt(3)(8))(388)`

`388+3104sqrt(3)~~5764.285708`

`:.`

`lim_(x->8)((1+sqrt(3)(x))(4-2x^2+x)^3)=388+3104sqrt(3)~~5764.285708`