Calculus AB fall semester

Limits

Continuity

Continuity: there are no interruptions in the function (no holes, steps, or jumps).

Removable discontinuity @ x = c, there is a limit, but no point

Removable discontinuity @ x = c, there is a limit, but no point

Non-removable discontinuity @ x = c, where NLE or point.

Non-removable discontinuity @ x = c, where NLE or point.

3 Types of Discontinuities

Jump

Jump

Hole

Hole

Step

Step

Algebraically

Subtopic

Graphically

Drawing Tangents

Differentiability

Continuous

Differentiable

Not Differentiable

Derivatives

Explicit

Implicit