I need the answer in JAVA programming. IF fast, I will be appreciate.

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Topics: Using Recursion Learning Outcome: At the end of this lab, student should be able: 1. To write a simple recursive program. 2. Use recursion as looping structure Question 1: Compute the power function p(x,n) defined as p(x,n) = x". This function has a recursive definition: p(x,n) = 1, if n=0 p(x,n) = x.p(x,n-1), otherwise. Write a program to test your recursive method. Question 2: Write recursiveMax(int[] A, int i, int currentMax) method that finds the largest integer in the array A. The method returns the max integer. The parameter i is used to track the i'th element in the array at each recursive call and compare it to the parameter current Max. Whichever is bigger would be returned as the max. Your method should process the array from the back and assume there is no duplicate element. Question 3: Write a recursive print method that accepts an ArrayList and prints out the first element in the list and the rest of the element. For example, if initially the list has the items [1,2,3], the method would display: 1,[2,3] 2, [3] 3,1)