Worksheet 4: Limits

In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.

In this open sets worksheet, students give characteristics of an open set under given conditions. They graph functions and define limits. This two-page worksheet contains 3 multi-step problems with explanations.

In this limit worksheet, students give examples of described sequences and find the limits. They compute numbers in the Fibonacci sequence. This one-page worksheet contains six multi-step problems.

In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.

In this limit worksheet, students use algebra to compute limits. They find the slope of the secant line and find a formula giving the slope of the secant line. This one-page worksheet contains six multi-step problems, with answers.

In this limit of slopes worksheet, students compute the limit of slopes, find the slope of the secant line, and determine the slope of the tangent line. This one-page worksheet contains five multi-step problems.

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...

To find delta ... travel down the Mississippi? In the video, scholars learn how to apply the epsilon-delta definition of a limit. They watch the derivation of delta for a given epsilon.

Can you prove a negative? In watching the video, individuals learn how to prove that the limit of a function does not exist at a point. The video covers the quintessential example of the limit of f(x) = abs(x)/x as x approaches 0.

Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.