Question

how do we check if a function is continuous at point s?

Answer 1

Hello Friend !

The answer to your query is given below :

Function f is said to be continuous on an interval I if f is continuous at each point x in I. Here is a list of some well-known facts related to continuity :

1. The SUM of continuous functions is continuous.

2. The DIFFERENCE of continuous functions is continuous.

3. The PRODUCT of continuous functions is continuous.

4. The QUOTIENT of continuous functions is continuous at all points x where the DENOMINATOR IS NOT ZERO.

5. The FUNCTIONAL COMPOSITION of continuous functions is continuous at all points x where the composition is properly defined.

6. Any polynomial is continuous for all values of x.

7. Function ex and trigonometry functions  and  are continuous for all values of x.

Hope this Helps !!!