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sum_up_to

Language/Type: PHP recursion

Write a recursive function named sum_up_to that accepts an integer parameter $n and returns the sum of 1 + 1/2 + 1/3 + 1/4 + ... + 1/$n.

For example, the call of sum_up_to(2) should return 1.5 (from 1 + 1/2 = 1.5). You should return 0.0 if $n is 0, and you should throw an Exception if $n is less than 0.

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

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