Evaluate the limit question

Question

((4+8(4^x)) / ((9-2(4^x)) as x approaches infinity

Answer 1

The given limit has the indeterminate form ∞ / (-∞), so L'Hopital's Rule is applicable.

Applying L'Hopital, we get the limit as x goes to infinity of 8(ln4)4^x / ((-2ln4)4^x) = 8/(-2) = -4