Question

How do you find the limit of `(x+4)/(x^2-13x+40)` as x approaches 8?

Answer 1

Do you mean `oo` rather than 8?

Explanation:

The expression does not have a limit as x `to` 8. If you do mean `oo` then to find the limit of the quotient of two polynomials as `x to oo` you simply ignore all except the highest power on the top and the bottom, giving you `x/x^2` which `to 0` as `x to oo`