USING JAVA AND Java.util.scanner, only ONE main class In calculus, Taylor's theorem gives an approximation a function around a specific value. For example: the Taylor's approximation of the function for very small values of x (x close to zero) is given by the following summation:

Write a program that will ask the user to enter the value of n and displays the correct answer of and the corresponding Taylor's approximation for x=0.05 and x=5. (note how the Taylor approximation is not correct for x=5 because x is not small)

Write a program that will ask the user to enter the value of n and displays the correct answer and the corresponding taylor's approximation for x = 0.005 and x=5