Question

How do you find the limit of `(5x^(3)+8x²)/(3x^(4)-16x²)` as x approaches 0?

Answer 1

`= - 1/2`

Explanation:

`lim_(x to 0) (5x^(3)+8x²)/(3x^(4)-16x²)`

`= lim_(x to 0) (5x+8)/(3x^(2)-16)`

`= (5(0)+8)/(3(0)^(2)-16)`

`= - 1/2`