Analyze a recursive function calls(5 points): Consider the following recursive method: // PRE: n >= 0 public static int f(int n). ( switch (n) { case 0: case 1: case 2: return n * 2; default: return f (n-1) f(n-3); I Draw a recursion tree diagram for the method call f(6), showing all recursive calls generated as we discussed in class. For each recursive call, state clearly the parameter it takes and the value it returns i the box representing it in the diagram. Is there any nonnegative argument value for the method f) that will lead to infinite recursion? If so, give an example. If not, explain why. Submission: for each of the problem, please copy your codes to a word document as well as the screenshot of the running result and then submit the word document or its pdf document to the dropbox