## f is continuous at x=c if…

### f is continuous at x=c if three conditions are satisfied:

1

f is continuous at x=c if three conditions are satisfied:

1. f(c) is defined: The function must have a defined value at x=c. In other words, the function should be defined at the point c.

2. The limit of f(x) as x approaches c exists: The limit of the function f(x) as x approaches c must exist. This means that the function approaches a specific value as x gets arbitrarily close to c from both sides.

3. The limit of f(x) as x approaches c is equal to f(c): Finally, the limit of f(x) as x approaches c should be equal to the value of f(c). In other words, the value of the function at x=c should be the same as the limit of the function at that point.

These three conditions ensure that the function is continuous at x=c, meaning that it has no jumps, holes, or any other disruptions in its graph at that specific point.

##### More Answers:

Exploring the Indefinite Integral of e^U | Integration Rule and Solution ExplanationSimplifying the Integral of dU/U | Understanding the Basic Properties of Logarithms

Understanding the Relationship Between e^ln x and x | A Simplification and Explanation