Summary of Límites (primera parte)

00:00:00 - 00:10:00

In this video, the concept of a limit is explored. It is shown that when graphed, the equation's limits will be close to but not exactly the same as 3. This is due to the fact that x, which is not exactly 2, cannot be exactly 3. The formal definition of a limit is a close approximation. This approximation is known as the "epsilon" in mathematics. The "epsilon" is a small difference between the limit and the actual value. The limit is then resolved using the limits theorem.

• 00:00:00 In this video tutorial, we will be discussing the concept of a limit, starting with an intuitive approach. We will then look at the mathematical notation for a limit, and see it represented in terms of a function. We will graph the function, and give nearby values for x as it approaches 2 on the left and right sides, and then decrease the value of x until it reaches 2. We will do the same thing for the function fx = 2x – 1, and graph the points along the line as x decreases. Finally, we will decrease the value of fx until it is equal to 3, and see that the points along the line have spread out. This means that as x approaches 3, the value of fx isapproaching 3.
• 00:05:00 In this video, the limits of an equation are explored. It is shown that, when graphed, the equation's limits will be close to but not exactly the same as 3. This is due to the fact that x, which is not exactly 2, cannot be exactly 3. The formal definition of a limit is a close approximation. This approximation is known as the "epsilon" in mathematics. The "epsilon" is a small difference between the limit and the actual value. It is common in school, but the concept of a limit is exactly how it is explained in math class - but it's a simplification of what's going on. In real life, we sometimes don't see this approximation perfectly - this is seen with calculators, but you can see it in person too with a computer. In either case, you can get a close approximation to the limit by approaching it gradually, or using the limits theorem. In this example, it is shown that there is a small difference between the limit and the actual value, which is known as the "epsilon." The limit is then resolved using the limits theorem, which gives us the constant c equal to 2 when x is close to 2, and 1 when x is close to
• 00:10:00 In this video, you learned about limits. For this, I suggest you do the exercise on page 1165. Remember, National College of Mathematics offers the most titles.