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, ['f', '137', '957', '7711', 'i', 'p', 'C', '8911', 'B', '483', 'j', 'x', 'B', '5511', '679', '2739', 'x', '195', '4519', '4361', '8833', '5339', '2341']