Divergent Series Calculus Teacher Resources

Light can be a mysterious phenomenon. Take away some of the mystery with an intriguing video lesson. The 38th lesson of the Crash Course physics series studies the movement of light waves. Topics include refraction and reflection as well...

In this improper integral worksheet, students determine the convergence or divergence of functions. They explore the sequence in the series. This one-page worksheet contains six multi-step problems.

Do you enjoy spending the day at the lake? Maybe not an active lava lake! Viewers watch the fascinating movement of crust on top of molten magma as part of a larger series exploring the story of Earth. Comparisons to tectonic plates...

In this college level calculus worksheet, students use the ratio test to determine if  a seriesconverges or diverges.  The two page worksheet contains six practice problems.  Answers are not included. 

In this math worksheet, students state the tests for convergence or divergence of a series. Then they apply the tests of convergence and divergence.

In this math worksheet, students investigate how a series can apply the law of convergence. They also test the functions using convergence.

In this math worksheet, students test the concepts of divergence and convergence for each formula. Then they test the functions using the Ratio Test.

In this math worksheet, students sketch and label on a number line the regions that converge and diverge with the sequences. Then they examine a smooth function and define its series.

In this math worksheet, students define how for a given value of x, the series S(x) converges. Then they prove how convergence can be absolute.

For this distance worksheet, students determine total distance and time. They identify an equation as convergent or divergent. This two-page worksheet contains five multi-step problems.

In this math worksheet, students consider the Taylor series and the Fibonacci sequence. They define the interval of convergence of the Taylor series.

A quiz that could also be used as a class worksheet or homework assignment, this activity prompts students to answer four short answer (computation) problems. They solve each series problem and tell if it converges or diverges.

In this math activity, students examine the series and determine if they converge or diverge. They also find the interval of convergence for each power series.

In this math instructional activity, students determine the convergence and divergence for each series using the test that is indicated. They also compute the partial sum and determine the error.

In this algebra worksheet, 11th graders solve a series and identify if the series will diverge or converge based on n equals. There are 5 questions.

In this calculus activity, students answer 13 short-answer problems regarding number sequences, limits, convergence, divergence, polynomials and functions.

In this college level Calculus worksheet, students examine sequences to determine if they are increasing, decreasing, or non monotonic.  Students find the sum of series and determine if they diverge.   The one page...

In this matter and motion worksheet, students solve 4 different problems that relate to determining the matter and motion of a function problem. First, they find the limit of a as n to infinity and then, determine whether each series...

In this math worksheet, students consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.

In this math worksheet, students state the Alternating Series Test and give an example of it. They also write down an alternating series which does not converge.

In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...

In this comparison test worksheet, students use the comparison test or the limit comparison test to determine if a series is convergent or divergent. They give examples of a series. This two-page worksheet contains seven multiple...

In this sequence worksheet, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use the...

Get your ocean explorers online, reading articles about submarine volcanoes. They answer a series of questions and take a geometery challenge in which they calculate how much of a volcano has been blown away. Make sure to explore several...