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, 6, ['I', '8721', '6901', '737', '5767', '9771', 'h']
9771

1, 2, ['j', '3613']
3613

1, 5, ['5243', '119', 'X', 'u', '1379', '7743', '4413']

6741