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.

5, 12, ['4439', 'P', 'e', '4929', '2085', 'w', 'C', '5385', '6517', 'w', '6257', '9721']
29965

3, 8, ['3071', 'N', '2157', 'g', 'l', '9317', '8639', '2519', '6257']
22632

2, 3, ['j', 'K', '1321', 'Y', '5439']

1321