Limit and Continuity of a Function

-

 






Comments

Post a Comment

Popular posts from this blog

Mathematical Methods for Economics I

-
Mathematical Methods for Economics I Unit – I Basic Concepts : Sets and set operations; Relations and Functions; Types of Functions: quadratic, polynomial, power, exponential, logarithmic, convex, quasi-convex and concave functions; Graphs of functions of one real variable; Equations; Identities; Equilibrium condition; System of Simultaneous Linear Equations; The Straight line and its slope. Set Theory – Concepts and Definitions Number of Elements in a Set Numerical Problems I: Number of Elements in a Set (Two Sets) Numerical Problems II: Number of Elements in a Set (Three Sets) Relations and Functions Types of Functions Finding the Domain and Range of a Function Graphs of functions of one real variable Equations and Identities Equilibrium Conditions - Concept and Numerical Problems Numerical Problems: Equilibrium condition System of Simultaneous Linear Equations - Concept and Numerical Problems Systems of Simultaneous Linear Equations: Numerical Problems The Straight line and its slop...
Read more

Set Theory – Concepts and Definitions

-
Image
What is a Set? A set is a group or collection of well-defined and distinct objects. These objects are called the elements or members of the set. Set theory was developed by Georg Cantor, a German mathematician. • A set is usually named using capital letters: A, B, C… • Elements are written in lowercase letters inside curly brackets: {a, b, c} If x is in set A, we write: x ∈ A If y is not in set A, we write: y ∉ A Example: Let A = {a, e, i, o, u} → the set of vowels in English. Ways to Represent a Set 1. Roster (Tabular or Listing) Method: This is a method of describing a set by listing each element of the set inside the symbol { }. In  listing the elements of the set, each distinct elements is listed once and the order of the elements does not matter. Example: Colors of a rainbow: A = {red, orange, yellow, green, blue, indigo, violet} 2. Set-Builder (Rule) Method: It is a method that lists the rules that determine whether an object is an element of the set rather than the actual el...
Read more