C++

Write a recursive function to compute the value of the following series for a given n:

f(n) = 1 + 1/4 + 1/9 + 1/16 + ... + 1/n^2 for n >= 1

Write the base cases and recurrence relationship for the function in the comments that describe your function. For example, the base case for factorial is:

n! = 1 if n = 1

and the recurrence relation is:

n! = n * (n-1)! if n > 1

You should embed the function in a program that calls the recursive function to compute the value of the series for different values input by the user. Your program should obtain the input n from the user via the console. If n is greater than zero, your program should then print out the value of the series to the console; otherwise it should print out an error message. Your program should also contain a continuation loop that prompts the user to determine if they would like to continue.

One sample run of your program should be similar to the following example:

Enter the number n: 1

The value of the series for n = 1 is: 1.00

Would you like to continue? (Enter Y or N): N