Differentiation 1

Abstract

Let n denote a positive integer. The larger the value of n, the smaller will be the value of 1/n. If we keep on increasing n, then 1/n will tend to zero. We express this by saying that ‘as n tends to infinity, 1/n tends to the limit zero’. Note that infinity, which is represented by the symbol ∞, is not a number. The statement ‘n tends to infinity’ is just a brief way of saying that n increases without there being any ceiling to its value. Note also that while 1/n gets closer and closer to zero, it never reaches zero.