Question

Evaluate the limit above ​

Answer 1

5/3

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
`(ax^n+...)/(bx^m+...)`

• 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