How to find the value k that makes the function continuous

The video tutorial explains the concept of continuity in functions, focusing on the equality of left-hand and right-hand limits. It demonstrates how to evaluate limits for continuous functions by plugging in values and solving for constants like K to ensure continuity in piecewise functions. The tutorial also includes graph interpretation to visualize continuity.

What does it mean for the left-hand limit and right-hand limit to be equal?

How can you evaluate the limit of a continuous function as X approaches 0?

What is the relationship between the graphs of X^2 + 1 and 2X in the context of continuity?

Discuss the implications of having a discontinuity at a certain point in a function.

Explain the significance of the value K in making a piecewise function continuous.