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, 13, ['2921', '5905', '2835', '3625', '2481', '1657', '6239', '2393', 'u', '3255', '7061', '8197', 'k', '269', '1135', '5833', '7847', 'C', '4371', '4783', '9613']
34908

3, 4, ['2977', 'i', 'l', 'r', '8835', '7697', 'p', '1685', 'h', 'N', 'Z', '8661', '6003', '7007', 'D', 'C']
0

5, 7, ['7149', 'n', '4209', '4339', 'r', '2871', 'B', 'F']

2871