This is very basic. I have asked some friends and they dont know. I have tried resolving it by long division, and can see where the 1 comes from but the remainder is 1. I have gone back to the basics, but the operands are multicative. ie 1/a * a = 1 What is the algebra of this The problem in taking limits: Notice that, by division x-2/x-3 = 1 + 1/ x-3.