Question

How do you find the limit `lim (3^(x+1)-2^(x+4))/(3^(x-2)+2^(x-1)+6)` as `x->oo`?

Answer 1

`3`

Explanation:

`lim_(x->oo) (3^(x+1)-2^(x+4))/(3^(x-2)+2^(x-1)+6) = lim_(x->oo)(3^-1-2^4*(2/3)^x)/(3^-2+2^-1(2/3)^x+6/3^x) = 3`