On java

Q3:(CLO 1) Create an interactive Java Application that uses recursion to solve the following: 1 + (x / !) + (x2 / 2!) + (x3 / 3!) + Calculate the value of ex- x are supplied by the user. You must call 2 recursive methods (One for factorial and another one for power (do not use pow method available in java). a) + (xn / n!), where n and b) Implement a recursive method, called vowels, that returns the number of vowels in a string c) Write a recursive method to implement Newton method to find the square root of a nonnegative real number whithin a given tolerance. If you do not know Newton method here is a short description: Suppose x is a nonnegative real number, a is the approximate square root of x, and epsilon is the tolerance. Start with a = x; ifla*a-x|