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.
14, 19, ['8953', '9481', 'F', 'd', 'x', 'H', '4735', '9787', '3289', '815', 'm', 'c', 'M', 'Z', 'f', '633', 'P', 'C', 'F']