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.
8, 14, ['871', '6245', '8073', '9529', 'A', 'R', '7563', 'B', '8721', 'U', '6403', 'H', '7693', '1911']