Support the Monkey! Tell All your Friends and Teachers

Help / FAQ


3.4 Algebra Of Continuous Functions

If 'f ' and 'g' are both continuous at x = c then

(a) f ¹ g is continuous at x = c

(b) f .g is continuous at x = c

(c) kf is continuous at x = c , (k being constant)

(d) f/g is continuous at x = c if g(c) ¹ 0


NOTE :

The rigorous definition , that the function 'f' is continuous at x = c if for each Î >0, $ a d > 0 such that

| f(x) - f(c)| < Î when |x - c | < d (Note $ means there exists)

[next page]

 

Index

3.1 Continuity At a Point
3.2 Continuity In An Interval
3.3 Some Very -often - encountered Continuous Functions
3.4 Algebra Of Continuous Functions
3.5 Discontinuity And its Classification
3.6 Properties of Functions Continuous on an Interval

Chapter 4





All Contents Copyright © All rights reserved.
Further Distribution Is Strictly Prohibited.

885 PinkMonkey users are on the site and studying right now.