1940.sagews

var('n')
limit(factorial(log(n^2))/(n*log(n)),n=oo)

+Infinity

limit(factorial(log(n^2))/(n^4),n=oo)

+Infinity

limit(factorial(log(n^2))/((4/3)^n),n=oo)

0

limit(factorial(log(n^2))/(3^n),n=oo)

0

limit((3^n)/((4/3)^n),n=oo)

+Infinity