How to understand evaluating the limit of a graph

The video tutorial introduces the concept of limits, explaining left-hand, right-hand, and general limits. It demonstrates how to evaluate functions at specific points using examples. The tutorial emphasizes understanding the value a function approaches as the input nears a certain point, distinguishing this from simply evaluating the function at that point. The session concludes with a brief mention of continuous functions and a preview of discontinuous functions.

What are the three types of limits discussed in the video?

• Initial, final, and average limits

• Positive, negative, and zero limits

• Upper, lower, and middle limits

• Left-hand, right-hand, and general limits

How do you evaluate a function at a specific point?

• By calculating the integral of the function

• By substituting the input value into the function

• By finding the derivative at that point

• By graphing the function and finding the intersection

What is the output value of F(x) = x^4 + 3 when x = 0?

• 4

• 3

• 1

• 0

What does the limit from the left mean?

• The value the function approaches as x increases

• The value the function approaches as x decreases

• The value the function approaches as x gets close to a point from the left

• The value the function approaches as x gets close to a point from the right

In a continuous function, what can be said about the left-hand and right-hand limits?

• They are always undefined

• They are always zero

• They are always equal

• They are always different