Video Tutorials

Worked problems and explanations, taught the way a tutor would at the whiteboard.

Jump Discontinuities (When the Limit Does Not Exist)

A jump discontinuity occurs when the function approaches two different values from the left and right side of a point. Picture a staircase instead of a ramp, a ramp is smooth and continuous, but a staircase has a sudden vertical jump at each step. That jump is exactly what this discontinuity looks like on a graph

Calculus I

4:59

Understanding Continuity (Calculus)

Three continuity conditions and a worked example

Calculus I

7:19

Removable Discontinuities (When a Limit Exists But the Function is Undefined)

A discontinuity is any point where at least one of the three continuity conditions fails. There are different types, and today's type is called 'removable' — named that because if you simply redefined the function at that one point, the break would disappear, or be 'removed.'

Calculus I

4:59

Continuity (When the Limit Equals the Function Value)

You need to know what 'continuous' actually means — both in plain language and as a formal definition, because the AP exam will test the formal version directly

Calculus I

8:27

One-Sided Limits (AP Exam Favorite)

Here's where the AP exam gets clever. It doesn't just test the regular limit — it tests whether the function approaches the same value from the LEFT and from the RIGHT

Calculus I