I'm having trouble with these two problems. If someone can help me with the first one I can probably get the second one on my own. I think that I have to factor the bottom but I just cant get it.

Question

I'm having trouble with these two problems.  If someone can help me with the first one I can probably get the second one on my own.  I think that I have to factor the bottom but I just cant get it.

lim              (3x+7)/(8x^2-3x+11)
x-> infinity

bobpursley · Answer

multipy numerator and denomiantor by 1/x^2 lim (3/x+7/x^2)/(8-3/x+11/x^2) lim numerator is zero lim denominator is 8 lim then must be zero.