Find Value of k for Limit: x^3-6 / x^k+3

[starchild75]

Homework Statement

find the value of k such that the limit exists. lim xgoes to infinity (x^3-6)/(x^k+3).

Homework Equations

The Attempt at a Solution

I multiply both sides by 1/x^3 I get 1 in the numerator and x^k/x^3 in the denominator. I don't know what to next.

 

[Dick]

x^k/x^3 is x^(k-3). Consider the cases of k>3, k<3 and k=3.