find limit:

lim (6n^2+5)/(3n^2)

n -> infinite

[ 6n^2 + 5 ] / [3n^2]

We have a Same Degree / Same Degree situation

The limit as n approaches infinity in Same / Same is simply the ratio of the coefficients on the highest powers of n in the numerator / denominator...so...the limit is 6 / 3 = 2