Question

What's the limit of (x+2)/(x^2+x+1) as x approaches infinity from the left

Answer 1

the numerator is a polynomial of degree 1
the denominator is a polynomial of degree 2
since the denominator is bigger, the limit is 0

Answer 2

just like \(\frac{1}{1000}\) is a very small number

Answer 3

^To add to what Satellite said. if the degree of the denominator is less than the denominator of the numerator, the limit is +/- inf. If they're equal,you look at the leading coefficients.

Answer 4

degree*