How to find the limit of continuous functions

The video tutorial explains how to identify continuous functions and evaluate their limits by direct substitution. It demonstrates the process using examples where values are plugged into functions to find limits as X approaches specific numbers. The tutorial also emphasizes the importance of using parentheses during calculations and suggests graphing the functions for visual understanding. The session concludes with an invitation for questions on direct substitution and limits.

What is the primary method used to evaluate the limit of a continuous function as X approaches a specific value?

• Graphical analysis

• Direct substitution

• Numerical approximation

• Differentiation

When evaluating the limit as X approaches -3, what is the result of the calculation?

• 0

• 1

• -1

• 3

In the example where X approaches 2, what is the final result of the calculation?

• 10

• -2

• -10

• 0

Why is it important to use parentheses when substituting values into a function?

• To make the expression look neat

• To ensure correct order of operations

• To simplify the expression

• To avoid using a calculator

What is the purpose of graphing the functions when evaluating limits?

• To determine the function's maximum value

• To check for discontinuities

• To visualize the approach of the function to a limit

• To find the derivative