>>1474202a) Limits obey a product law: lim (f(x) * g(x)) = lim f(x) * lim g(x)
b) They obey a quotient law of the same principle, if g(x) does not tend to 0
c) They obey a root law: lim nthroot( f(x) ) = nthroot( lim f(x) )
with x tends to infinity
by c) lim sqrt(x^6 + etc) = lim x^3
by c) lim cbrt(3x^5 + etc) = lim cbrt(3)x^(5/3)
by a) lim ( x^2 * cbrt(3)x^(5/3) ) = lim cbrt(3)x^(11/3)
by b) lim ( x^3 / cbrt(3)x^(11/3) ) = lim 1 / cbrt(3)x^(2/3)
