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, 15, ['9297', 'c', 'j', 'n', '2351', 's', '8723', 'L', '983', 'g', 'g', '5435', 'c', 'l', 'F', '3421', 'r', 'N', 's', '7889', '743', 'v']