Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

True or False: If f.g is continuous at $x=a$,then f and g are separately continuous at $x=a.$

Can you answer this question?

1 Answer

0 votes
  • A function is said to be continuous on an open interval $(a,b)$ if it is continuous at every point on the interval $(a,b)$.$\mid f\mid$ is defined as $\mid f\mid(x)=\mid f(x)\mid$
If $f.g$ is continuous at $x=0$ then $f$ and $g$ are separately continuous at $x=0$.
Let us consider $f(x)=\large\frac{1}{x}$ and $g(x)=x$.
This is continuous at $x=0$
But even though $g$ is continuous,$f$ is discontinuous at $x=0$
Hence it is a False statement.
answered Jul 5, 2013 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App