Find L=lim_x->infinity[ax^p+bx^(p-2)+c]/[dx^q+ex^(q-2)+k], where a,b,c,d,k are const. p>0,q>0 ,p>q

First of all the question is incomplete !

I guess as you have written about, d and k ,

it may be like this :

lim [ax^p+bx^(p-2)+c]/[dx^q+ex^(q-2)+k] [ where e and k are constant]
x->inf.

= lim x^p{a+b/x^2+c/x^2}/{d+e/x^2+k/x^q}
x->inf


As p>q


= lim x^(p-q){a+b/x^2+c/x^p}/{d+e/x^2+k/x^q}

x->inf.

= infinity

I think your question is incomplete. I think you assumed us to understand where k goes but we can't seem to.

Where is the k?