Answer:
5/3
Step-by-step explanation:
This is a limit going to infinity, so there's a neat shortcut you can use.
Look at the highest exponent of the numerator and the denominator
Given [tex]\frac{ax^n+...}{bx^m+...}[/tex]
- If the numerator's exponent is bigger than the denominator's exponent, then the limit goes to infinity.
if n>m, lim = ∞
- If the numerator's exponent and denominator's exponent are the same, then the limit is just the quotient of their coefficient.
if n=m, lim = a/b
- If the numerator's exponent is smaller than the denominator's exponent, then the limit goes to 0.
if n<m, lim = 0
Since 5x² and 3x² has the same exponent, then the limit goes to 5/3
