In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
4, 12, ['j', 'O', 'u', '7307', '9421', '4939', '7251', 'w', '8635', 'c', '8435', '5743', '8465', 'z']