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What is the time complexity of this function / algorithm?var factorial = function(n) { if(n == 0) { return 1 } else { return n * factorial(n - 1); }}O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))

Question

What is the time complexity of this function / algorithm?var factorial = function(n) { if(n == 0) { return 1 } else { return n * factorial(n - 1); }}O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))

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Solution

The time complexity of the given function, which calculates the factorial of a number using recursion, is O(n). This is because the function makes n recursive calls, each of which involves a constant amount of work (multiplying n by the result of the recursive call). Therefore, the total amount of work is proportional to the input size n.

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