(In reply to re: hmmmm
The limit is, as you have rightly observed , but to orove it you do not need simulation or Excel tables.
You divide both the numerator and the denominator by n:
(21+4/n)/(14+3/n) and let nšinfinity
the fraction is 21/14=1/3.
Generally the limit of a ratio of 2 polynomes of a single variable=
a. }infinity, (higher power polynome in the numerator)
b, zero (lower power polynome in the numerator)
c, ratio of the highest power's coefficients(equal powers).