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Java using Eclipse In many textbooks, the first examples of recursion are the mathematical functions factorial and fibonacci. These functions are defined for non-negative integers

Java using Eclipse

In many textbooks, the first examples of recursion are the mathematical functions factorial and fibonacci. These functions are defined for non-negative integers using the following recursive formulas:

factorial(0) = 1

factorial(N) = N*factorial(N-1) for N > 0

fibonacci(0) = 1

fibonacci(1) = 1

fibonacci(N) = fibonacci(N-1) + fibonacci(N-2) for N > 1

Write recursive functions to compute factorial(N) and fibonacci(N) for a given non-negative integer N, and write a main() routine to test your functions. (Consider using the BigInteger class)

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