Question

What is the limit of `( (5x^2 - 4x) / (2x^2 + 3) )` as x approaches infinity?

Answer 1

Without using l'Hospital's rule:

Explanation:

`lim_(xrarroo)(5x^2-4x)/(2x^2+3) = lim_(xrarroo)(x^2(5-4/x))/(x^2(2+3/x^2))`

`= lim_(xrarroo)(5-4/x)/(2+3/x^2)`

`= (5-0)/(2+0) = 5/2`