Limits and Continuity

Explore logarithmic functions, and have pupils solve 10 different problems that include various logarithmic functions. First, they find the domain of a given function and then the range. They also consider a graph that has a limited...

Continue a study of calculus by using a slideshow to introduce the concept of continuity. After defining the term, the presentation provides examples of functions that are discontinuous and introduces different types...

Sal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...

Sal starts an explanation of limits by looking at a basic example of a discontinuous function and takes a more intuitive point of view before looking at a formal mathematical definition in later videos.  He starts by introducing the...

Discover how to find limits using graphs. Viewers learn how to determine limits of a piecewise function at specific points by analyzing a graph. They consider both one-sided and two-sided limits.

What does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...

Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...

Take a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...

Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...

Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...