Are there any questions about the continuity of functions?
Questions on the concepts of continuity and continuous functions in calculus are presented along with their answers. These questions have been designed to help you gain deep understanding of the concept of continuity . True or False. If a function f is not defined at x = a then it is not continuous at x = a. True.
Which is an example of the meaning of continuity?
Graphical meaning and interpretation of continuity are also included. Example 1: For what values of x are each of the following functions discontinuous? a) For x = 0, the denominator of function f (x) is equal to 0 and f (x) is not defined and does not have a limit at x = 0.
Which is the correct formula for the continuity equation?
The flow rate formula. The Equation of Continuity and can be expressed as: With uniform density equation (1) it can be modified to: The continuity equation in fluid dynamics describes that in any steady state process, the rate at which mass leaves the system is equal to the rate at which mass enters a system.
Is it true that f ( x ) is continuous everywhere?
If f (x) is continuous everywhere, then |f (x)| is continous everywhere. True. See the theorem on the composition of continuous functions: here f (x) and | x | are continuous everywhere. True or False. If f (x) is continuous everywhere, then square root [ f (x) ] is continuous everywhere.
Questions on the concepts of continuity and continuous functions in calculus are presented along with their answers. These questions have been designed to help you gain deep understanding of the concept of continuity . True or False. If a function f is not defined at x = a then it is not continuous at x = a. True.
Graphical meaning and interpretation of continuity are also included. Example 1: For what values of x are each of the following functions discontinuous? a) For x = 0, the denominator of function f (x) is equal to 0 and f (x) is not defined and does not have a limit at x = 0.
The flow rate formula. The Equation of Continuity and can be expressed as: With uniform density equation (1) it can be modified to: The continuity equation in fluid dynamics describes that in any steady state process, the rate at which mass leaves the system is equal to the rate at which mass enters a system.
How to prove continuity in Class 12 Maths?
Examine the following functions for continuity. Ex 5.1 Class 12 Maths Question 4. Prove that the function f (x) = x n is continuous at x = n, where n is a positive integer. Ex 5.1 Class 12 Maths Question 5.