LIMITS CALCULATOR TECHNIQUES - DIFFERENTIAL CALCULUS | ENGINEERING BOARD EXAM REVIEW | YU JEI ABAT

This paragraph introduces the topic of using calculator techniques for solving differential calculus problems, particularly focusing on limits. It emphasizes the importance of setting the calculator to the correct mode for these calculations. The video presents a series of problems that will be tackled in the upcoming videos, including derivatives, parametric equations, and higher order derivatives. The first problem discussed involves evaluating the limit of a function as x approaches zero, highlighting the common issue of undefined expressions and how to work around them by inputting values close to the limit.

This paragraph delves into the specifics of solving limits that approach zero using calculator techniques. It explains the process of inputting values very close to zero from both the right and left sides to determine if the limit exists. The paragraph provides a step-by-step guide on how to use the calculator to evaluate limits, including how to handle cases where direct substitution results in a math error due to zero denominators. Two examples are given to illustrate the method, with the first example showing that the limit exists and is zero, and the second example demonstrating that the limit exists and is equal to eight.

This paragraph continues the discussion on calculator techniques for evaluating limits, focusing on cases where the limit is approached at values other than zero. It explains the process of directly substituting the limit value into the calculator, and what to do when this results in a math error due to undefined expressions. The paragraph provides examples of how to approach the calculation from both the left and right sides of the limit point, using values slightly less than and greater than the limit value to determine if the limit exists. The examples given illustrate how to evaluate limits for different functions and how to interpret the results, including cases where the limit does not exist due to differing values from each side.

This paragraph discusses how to evaluate limits as x approaches infinity using calculator techniques. It explains that for limits approaching positive infinity, one should input a very large value for x into the calculator to approximate the behavior of the function. The paragraph provides an example of evaluating a limit as x approaches positive infinity, showing that the result converges to a specific value. It also touches on the concept of limits involving trigonometric functions and how to handle them using calculator techniques, emphasizing the importance of understanding the behavior of functions as x approaches certain values.

This paragraph concludes the video script by summarizing the importance of calculator techniques in solving differential calculus problems, especially when dealing with limits. It reiterates that while these techniques are powerful, they are most effective in multiple-choice scenarios. The paragraph encourages viewers to explore other videos on the channel for a comprehensive understanding of various engineering subjects. It ends with well-wishes for the viewers' success in their board exams and future endeavors, highlighting the practical application of these techniques in passing professional licensing exams.