Write a function is sorted(lst) that takes as input a list of numbers, and returns true if the list is sorted in increasing order, and false otherwise. provide doctests that test your function for several inputs. (it’s fantastic if you can make your function recursive, but in this case, it’s ok to use loops as well). (c) write a function is file sorted(filename). this function takes as input a name of the input file containing a list of integer numbers, one number per line, and returns true if the list is sorted in increasing order, and false otherwise. test your function with several inputs. important: remember to convert string values to integers before testing. oth- erwise your numbers will be sorted alphabetically, for example, numbers [1,2,11,12] will be sorted [1,11,12,2], which is not the right order for integers.