[math-fun] What difference could a few bits of precision make?

Out[42]= Sec[18190586279576483]/18190586279576483 In[43]:= {N@%, N[%, 22]} Out[43]= {-6.53302256185329*10^-17, 2.154106494388454341277} --rwg Does |Sec@n/n| (integer n) have a supremum, or even a simple max? Hopelessly difficult: The minimal p for which Sec@n/n^p has a limit.