1. Sort the following functions into increasing order based on their asymptotic growth. Justify your answer.

6n,3logn,nlogn,5n2,n,42,n!,7loglogn,nlogn.

2. Write a Java program which asks a positive integer n from a user (you can assume that the user will always give the right type of input) and prints the values of task 1(question 1) functions with given n.