In this lesson we are going to talk about formal definition of a limit. It means that we are actually going to take a look at formal proofs of some results. First we will give formal definition of a limit. This theoretical part different teachers and professors explain in different ways. You should follow explanation given by your professor if it differs from a template that will be given here. At this part we will introduce two values as two Greek letters δ (delta) and ε (epsilon). We will start with simplest examples (like lim(x→5)(2x-1=9) where limit result is pretty obvious) for the sake of illustrating the definition.
Depending on your
instructor, you may spend only a little time on this topic.
epsilon-delta proofs are very important in advanced mathematics!
Try to follow the
geometrical idea behind the proofs.
Your instructor or
your textbook may have sample proofs on which you can base your
Formal Definition of a Limit
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.