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factorial

Language/Type: JavaScript recursion

Write a recursive function named factorial that accepts an integer n as a parameter and returns the factorial of n, or n!. A factorial of an integer is defined as the product of all integers from 1 through that integer inclusive. For example, the call of factorial(4) should return 1 * 2 * 3 * 4, or 24. The factorial of 0 and 1 are defined to be 1.

If passed a negative value, your function should throw an exception with the message "n must be non-negative" You may assume that the factorial of the value passed can fit in the range of type Number.

Constraints:

  • Do not use loops or auxiliary data structures; solve the problem recursively.

Function: Write a JavaScript function as described, not a complete program.

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