Question

How do you find the limit of `(x^3 - 5x^2 + 7x - 3)/(x^3 - x^2 - 5x - 3)` as x approaches 3?

Answer 1

`1/4`

Explanation:

Divide both polynomia by `x-3`, then

`lim_(x->3)((x-3)(x-1)^2)/((x-3)(x+1)^2)=(3-1)^2/(3+1)^2=1/4`