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, 11, ['6419', '5321', 'g', '9653', '2451', '7689', 'X', '2943', '4741', '8629', 'i', '3995', 'l', '3319', 'H', '9909', 'l', '7591', '8987']