ECON 2P30 Lecture Notes - Intermediate Value Theorem, Convex Set, Limit Of A Sequence
17 Jan 2013
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University, 500 glenridge ave. , st. catharines, ontario, l2s 3a1, canada. This document was typeset with the latex documentation system using the xy-pic, the latexdraw, and the mnsymbol packages. Before we devote time into the study of generalized functions, we begin our analysis of functions by rst considering a very specialized one. In particular, consider a function f n rn. That is, the domain of f is the set of natural arbitrary. For example, a random assignment of real numbers, if n= 1, to numbers n and the codomain the euclidean n-space rn. Such a function is called a real-valued sequence, or in the case where in context, the codomain. Rn is obvious, f will be referred simply to as a sequence. As can be seen in its de nition, the concept of a sequence can be rather the set of natural numbers such as:
