'How to find costants to demonstrate f(x)=Theta(g(x))?

I have this equation:

enter image description here

I proceeded find the ration limit:

enter image description here

Now the exercise asks me to find two constants. How can I find the other one?

I just thought I should derivate the ration limit and solve a system with two equations (denumerator and numerator) and by that I can find the other constant. It is like find the maximum and the minimum.

Am I wrong? How can I approach this?

EDIT: I solved my own problem. This previous question: how to find out the constant in "Big theta" notation helped me.

algorithmtime-complexity


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