3.5k views
4 votes
Evaluate the limit of 4x^3+2x^2+3x/-9x^2+5x+5 as limit of x approaches infinity

User Stefano
by
4.8k points

1 Answer

4 votes

Answer:

Infinity

Explanation:

Apl
\lim_(x \to \infty) (4x^3 + 2x^2 +3x)/(-9x^2 +5x +5) = (inf)/(inf)

Which is undefined. In order to solve this, we divide and multiply the function by
x^3 (which is the same as multipliying by 1).


\lim_(n \to \infty) (4 + 2x^-1 +3x^-2)/(-9x^-1 +5x^-2 +5x^-3) =  (4)/(0) = inf

User Ahmed Kotb
by
4.7k points