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.
6, 14, ['5825', '2273', 'e', '7885', '5025', '2797', 'd', '1519', '4735', '8835', 'B', 'g', '6253', '3935']