Test of Continuity of Functions

The video tutorial explains the concept of continuity in functions, detailing the conditions required for a function to be continuous at a point and within an interval. It covers the continuity of standard functions like constant, trigonometric, exponential, and logarithmic functions, highlighting their domains. The tutorial also discusses discontinuity, providing examples of when and why a function might be discontinuous.

What does it mean for a function to be continuous at a point?

What are the three conditions to check if a function is continuous at a point?

How do we determine the continuity of a function in an interval?

Explain the continuity of the sine function.

What is the continuity status of the tangent function?

Describe the continuity of exponential functions.

What causes the discontinuity of a function at a point?